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13223320011135 = 3451316318778209
BaseRepresentation
bin1100000001101100101101…
…0010101100000101111111
31201211010200220111112010000
43000123023102230011333
53213122324410324020
644042413115245343
72533232124361143
oct300331322540577
951733626445100
1013223320011135
114238a84462473
121596927149853
1374bc5244ca40
1433a0252d7223
1517de8007e090
hexc06cb4ac17f

13223320011135 has 160 divisors (see below), whose sum is σ = 25700835948480. Its totient is φ = 6465769132032.

The previous prime is 13223320011133. The next prime is 13223320011137. The reversal of 13223320011135 is 53111002332231.

13223320011135 is a `hidden beast` number, since 1 + 3 + 223 + 320 + 0 + 1 + 113 + 5 = 666.

13223320011135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13223320011133) and next prime (13223320011137).

It is not a de Polignac number, because 13223320011135 - 21 = 13223320011133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13223320011099 and 13223320011108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223320011133) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1610827911 + ... + 1610836119.

It is an arithmetic number, because the mean of its divisors is an integer number (160630224678).

Almost surely, 213223320011135 is an apocalyptic number.

13223320011135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13223320011135 is a deficient number, since it is larger than the sum of its proper divisors (12477515937345).

13223320011135 is a wasteful number, since it uses less digits than its factorization.

13223320011135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10279 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13223320011135 its reverse (53111002332231), we get a palindrome (66334322343366).

The spelling of 13223320011135 in words is "thirteen trillion, two hundred twenty-three billion, three hundred twenty million, eleven thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 163 195 351 405 489 585 815 1053 1467 1755 1877 2119 2445 4401 5265 5631 6357 7335 8209 9385 10595 13203 16893 19071 22005 24401 24627 28155 31785 41045 50679 57213 66015 73203 73881 84465 95355 106717 122005 123135 152037 171639 219609 221643 253395 286065 305951 320151 366015 369405 533585 658827 664929 760185 858195 917853 960453 1098045 1108215 1338067 1529755 1600755 1976481 2753559 2881359 3294135 3324645 3977363 4014201 4589265 4802265 6690335 8260677 8644077 9882405 11932089 12042603 13767795 14406795 15408293 17394871 19886815 20071005 24782031 35796267 36127809 41303385 43220385 46224879 52184613 59660445 60213015 77041465 86974355 107388801 108383427 123910155 138674637 156553839 178981335 180639045 200307809 231124395 260923065 322166403 416023911 469661517 536944005 541917135 600923427 693373185 782769195 1001539045 1248071733 1408984551 1610832015 1802770281 2080119555 2348307585 2511551759 3004617135 5408310843 6240358665 7044922755 7534655277 9013851405 12557758795 16224932529 22603965831 27041554215 32650172867 37673276385 67811897493 81124662645 97950518601 113019829155 163250864335 203435692479 293851555803 339059487465 489752593005 881554667409 1017178462395 1469257779015 2644664002227 4407773337045 13223320011135