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10131240132 = 22331329248827
BaseRepresentation
bin10010110111101111…
…00111010011000100
3222011001201022202000
421123313213103010
5131222044141012
64353151345300
7506030056146
oct113367472304
928131638660
1010131240132
114329903732
121b68b22230
13c55c4b560
146c1766c96
153e4683ddc
hex25bde74c4

10131240132 has 96 divisors (see below), whose sum is σ = 29262172800. Its totient is φ = 3009799296.

The previous prime is 10131240079. The next prime is 10131240149. The reversal of 10131240132 is 23104213101.

It is a super-2 number, since 2×101312401322 (a number of 21 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 83698 + ... + 165129.

It is an arithmetic number, because the mean of its divisors is an integer number (304814300).

Almost surely, 210131240132 is an apocalyptic number.

10131240132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131240132 is an abundant number, since it is smaller than the sum of its proper divisors (19130932668).

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

10131240132 is a wasteful number, since it uses less digits than its factorization.

10131240132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248882 (or 248874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131240132 its reverse (23104213101), we get a palindrome (33235453233).

The spelling of 10131240132 in words is "ten billion, one hundred thirty-one million, two hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 87 108 116 117 156 174 234 261 348 351 377 468 522 702 754 783 1044 1131 1404 1508 1566 2262 3132 3393 4524 6786 10179 13572 20358 40716 248827 497654 746481 995308 1492962 2239443 2985924 3234751 4478886 6469502 6718329 7215983 8957772 9704253 12939004 13436658 14431966 19408506 21647949 26873316 28863932 29112759 38817012 43295898 58225518 64943847 86591796 87338277 93807779 116451036 129887694 174676554 187615558 194831541 259775388 281423337 349353108 375231116 389663082 562846674 779326164 844270011 1125693348 1688540022 2532810033 3377080044 5065620066 10131240132