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10113012033102 = 2331167431589579
BaseRepresentation
bin1001001100101001111001…
…1111010110011001001110
31022210210110012022100212000
42103022132133112121032
52311142422040024402
633301504213053130
72062432602645336
oct223123637263116
938723405270760
1010113012033102
1132499a4713190
121173b773271a6
13584864690a24
1426d68836c0c6
151280e16a9c1c
hex9329e7d664e

10113012033102 has 128 divisors (see below), whose sum is σ = 24940082995200. Its totient is φ = 3011800255200.

The previous prime is 10113012033101. The next prime is 10113012033109. The reversal of 10113012033102 is 20133021031101.

10113012033102 is a `hidden beast` number, since 1 + 0 + 11 + 301 + 20 + 331 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113012033101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16858149 + ... + 17447727.

It is an arithmetic number, because the mean of its divisors is an integer number (194844398400).

Almost surely, 210113012033102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113012033102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470041497600).

10113012033102 is an abundant number, since it is smaller than the sum of its proper divisors (14827070962098).

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

10113012033102 is a wasteful number, since it uses less digits than its factorization.

10113012033102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590099 (or 590093 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10113012033102 its reverse (20133021031101), we get a palindrome (30246033064203).

It can be divided in two parts, 1011301 and 2033102, that added together give a palindrome (3044403).

The spelling of 10113012033102 in words is "ten trillion, one hundred thirteen billion, twelve million, thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 99 134 198 201 297 402 431 594 603 737 862 1206 1293 1474 1809 2211 2586 3618 3879 4422 4741 6633 7758 9482 11637 13266 14223 19899 23274 28446 28877 39798 42669 57754 85338 86631 128007 173262 256014 259893 317647 519786 589579 635294 779679 952941 1179158 1559358 1768737 1905882 2858823 3537474 5306211 5717646 6485369 8576469 10612422 12970738 15918633 17152938 19456107 31837266 38912214 39501793 58368321 79003586 116736642 118505379 175104963 237010758 254108549 350209926 355516137 434519723 508217098 711032274 762325647 869039446 1066548411 1303559169 1524651294 2133096822 2286976941 2607118338 2795194039 3910677507 4573953882 5590388078 6860930823 7821355014 8385582117 11732032521 13721861646 16771164234 17025272783 23464065042 25156746351 34050545566 50313492702 51075818349 75470239053 102151636698 150940478106 153227455047 187278000613 306454910094 374556001226 459682365141 561834001839 919364730282 1123668003678 1685502005517 3371004011034 5056506016551 10113012033102