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10131113114012 = 22111731919475421
BaseRepresentation
bin1001001101101101010101…
…1001011111100110011100
31022212112011200200112211002
42103123111121133212130
52311442004424122022
633314100310045432
72063643266414102
oct223332531374634
938775150615732
1010131113114012
113256643265190
121177589349878
1358648a822aa7
142704c438bc72
1512880087d092
hex936d565f99c

10131113114012 has 96 divisors (see below), whose sum is σ = 21162592604160. Its totient is φ = 4189781376000.

The previous prime is 10131113113967. The next prime is 10131113114041. The reversal of 10131113114012 is 21041131113101.

It is a super-2 number, since 2×101311131140122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21072062 + ... + 21547482.

It is an arithmetic number, because the mean of its divisors is an integer number (220443672960).

Almost surely, 210131113114012 is an apocalyptic number.

It is an amenable number.

10131113114012 is an abundant number, since it is smaller than the sum of its proper divisors (11031479490148).

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

10131113114012 is a wasteful number, since it uses less digits than its factorization.

10131113114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476403 (or 476401 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 10131113114012 its reverse (21041131113101), we get a palindrome (31172244227113).

The spelling of 10131113114012 in words is "ten trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred fourteen thousand, twelve".

Divisors: 1 2 4 11 17 22 31 34 44 62 68 124 187 341 374 527 682 748 919 1054 1364 1838 2108 3676 5797 10109 11594 15623 20218 23188 28489 31246 40436 56978 62492 113956 171853 313379 343706 475421 484313 626758 687412 950842 968626 1253516 1901684 1937252 5229631 5327443 8082157 10459262 10654886 14738051 16164314 20918524 21309772 29476102 32328628 58952204 88903727 162118561 177807454 250546867 324237122 355614908 436911899 501093734 648474244 873823798 1002187468 1747647596 2756015537 4806030889 5512031074 7427502283 9612061778 11024062148 13544268869 14855004566 19224123556 27088537738 29710009132 54177075476 81702525113 148986957559 163405050226 230252570773 297973915118 326810100452 460505141546 595947830236 921010283092 2532778278503 5065556557006 10131113114012