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12310313102010 = 23257112161489087
BaseRepresentation
bin1011001100100011011111…
…0101101110101010111010
31121120212001212220222212200
42303020313311232222322
53103143010123231020
642103140232451030
72410251014605560
oct263106765565272
947525055828780
1012310313102010
113a168578a9300
1214699a2b49a76
136b3b1c043201
14307b726a7a30
15165345bd8590
hexb3237d6eaba

12310313102010 has 144 divisors (see below), whose sum is σ = 40206907173888. Its totient is φ = 2557987122240.

The previous prime is 12310313101997. The next prime is 12310313102011. The reversal of 12310313102010 is 1020131301321.

12310313102010 is a `hidden beast` number, since 1 + 2 + 310 + 31 + 310 + 2 + 0 + 10 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12310313102011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80668314 + ... + 80820773.

It is an arithmetic number, because the mean of its divisors is an integer number (279214633152).

Almost surely, 212310313102010 is an apocalyptic number.

12310313102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12310313102010 is an abundant number, since it is smaller than the sum of its proper divisors (27896594071878).

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

12310313102010 is a wasteful number, since it uses less digits than its factorization.

12310313102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161489129 (or 161489115 counting only the distinct ones).

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

Adding to 12310313102010 its reverse (1020131301321), we get a palindrome (13330444403331).

The spelling of 12310313102010 in words is "twelve trillion, three hundred ten billion, three hundred thirteen million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 605 630 693 726 770 847 990 1089 1155 1210 1386 1694 1815 2178 2310 2541 3465 3630 4235 5082 5445 6930 7623 8470 10890 12705 15246 25410 38115 76230 161489087 322978174 484467261 807445435 968934522 1130423609 1453401783 1614890870 1776379957 2260847218 2422336305 2906803566 3391270827 3552759914 4844672610 5329139871 5652118045 6782541654 7267008915 8881899785 10173812481 10658279742 11304236090 12434659699 14534017830 15987419613 16956354135 17763799570 19540179527 20347624962 24869319398 26645699355 31974839226 33912708270 37303979097 39080359054 50869062405 53291398710 58620538581 62173298495 74607958194 79937098065 97700897635 101738124810 111911937291 117241077162 124346596990 136781256689 159874196130 175861615743 186519895485 195401795270 223823874582 273562513378 293102692905 351723231486 373039790970 410343770067 559559686455 586205385810 683906283445 820687540134 879308078715 1119119372910 1231031310201 1367812566890 1758616157430 2051718850335 2462062620402 4103437700670 6155156551005 12310313102010