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11331010131320 = 23511192389956713
BaseRepresentation
bin1010010011100011010011…
…0101010111010101111000
31111010020022120121121002202
42210320310311113111320
52441121402043200240
640033221051245332
72246431664653055
oct244706465272570
944106276547082
1011331010131320
1136794aa902910
121330038449848
13642681991499
142b25d0d4a02c
15149b2b4c5315
hexa4e34d57578

11331010131320 has 128 divisors (see below), whose sum is σ = 29278035360000. Its totient is φ = 3903273722880.

The previous prime is 11331010131281. The next prime is 11331010131349. The reversal of 11331010131320 is 2313101013311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11331010131292 and 11331010131301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199767284 + ... + 199823996.

It is an arithmetic number, because the mean of its divisors is an integer number (228734651250).

Almost surely, 211331010131320 is an apocalyptic number.

11331010131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331010131320 is an abundant number, since it is smaller than the sum of its proper divisors (17947025228680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331010131320 is a wasteful number, since it uses less digits than its factorization.

11331010131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80653 (or 80649 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11331010131320 its reverse (2313101013311), we get a palindrome (13644111144631).

The spelling of 11331010131320 in words is "eleven trillion, three hundred thirty-one billion, ten million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 23899 47798 56713 95596 113426 119495 191192 226852 238990 262889 283565 453704 454081 477980 525778 567130 623843 908162 955960 1051556 1077547 1134260 1247686 1314445 1816324 2103112 2155094 2268520 2270405 2495372 2628890 3119215 3632648 4310188 4540810 4990744 4994891 5257780 5387735 6238430 8620376 9081620 9989782 10515560 10775470 11853017 12476860 18163240 19979564 21550940 23706034 24953720 24974455 39959128 43101880 47412068 49948910 59265085 94824136 99897820 118530170 199795640 237060340 474120680 1355383987 2710767974 5421535948 6776919935 10843071896 13553839870 14909223857 25752295753 27107679740 29818447714 51504591506 54215359480 59636895428 74546119285 103009183012 119273790856 128761478765 149092238570 206018366024 257522957530 283275253283 298184477140 515045915060 566550506566 596368954280 1030091830120 1133101013132 1416376266415 2266202026264 2832752532830 5665505065660 11331010131320