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13023223232130 = 2345311013511991
BaseRepresentation
bin1011110110000011010010…
…0110000011011010000010
31201010000012211002221210000
42331200310212003122002
53201333030121412010
643410441451020430
72512616416665456
oct275406446033202
951100184087700
1013023223232130
114171132aaa821
121563ba313a716
137361140771a7
14330482422666
15178b6d38e7c0
hexbd834983682

13023223232130 has 160 divisors (see below), whose sum is σ = 36183367554048. Its totient is φ = 3357507542400.

The previous prime is 13023223232119. The next prime is 13023223232153. The reversal of 13023223232130 is 3123232232031.

13023223232130 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 322 + 323 + 2 + 13 + 0 = 666.

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 = 13023223232094 and 13023223232103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25180435 + ... + 25692425.

Almost surely, 213023223232130 is an apocalyptic number.

13023223232130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023223232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18091683777024).

13023223232130 is an abundant number, since it is smaller than the sum of its proper divisors (23160144321918).

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

13023223232130 is a wasteful number, since it uses less digits than its factorization.

13023223232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513054 (or 513045 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13023223232130 its reverse (3123232232031), we get a palindrome (16146455464161).

The spelling of 13023223232130 in words is "thirteen trillion, twenty-three billion, two hundred twenty-three million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1013 1395 1674 2026 2511 2790 3039 4185 5022 5065 6078 8370 9117 10130 12555 15195 18234 25110 27351 30390 31403 45585 54702 62806 82053 91170 94209 136755 157015 164106 188418 273510 282627 314030 410265 471045 511991 565254 820530 847881 942090 1023982 1413135 1535973 1695762 2543643 2559955 2826270 3071946 4239405 4607919 5087286 5119910 7679865 8478810 9215838 12718215 13823757 15359730 15871721 23039595 25436430 27647514 31743442 41471271 46079190 47615163 69118785 79358605 82942542 95230326 138237570 142845489 158717210 207356355 238075815 285690978 414712710 428536467 476151630 518646883 714227445 857072934 1037293766 1285609401 1428454890 1555940649 2142682335 2571218802 2593234415 3111881298 4285364670 4667821947 5186468830 6428047005 7779703245 9335643894 12856094010 14003465841 15559406490 16078053373 23339109735 28006931682 32156106746 42010397523 46678219470 48234160119 70017329205 80390266865 84020795046 96468320238 140034658410 144702480357 160780533730 210051987615 241170800595 289404960714 420103975230 434107441071 482341601190 723512401785 868214882142 1302322323213 1447024803570 2170537205355 2604644646426 4341074410710 6511611616065 13023223232130