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10131131310 = 2352359248861
BaseRepresentation
bin10010110111101110…
…01100101110101110
3222011001111210110120
421123313030232232
5131222032200220
64353145145410
7506026123656
oct113367145656
928131453416
1010131131310
1143298399a3
121b68a8b266
13c55c10b71
146c1739366
153e4661a40
hex25bdccbae

10131131310 has 64 divisors (see below), whose sum is σ = 25802012160. Its totient is φ = 2540362880.

The previous prime is 10131131299. The next prime is 10131131347. The reversal of 10131131310 is 1313113101.

It is a super-2 number, since 2×101311313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10131131310.

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, 83721 + ... + 165140.

It is an arithmetic number, because the mean of its divisors is an integer number (403156440).

Almost surely, 210131131310 is an apocalyptic number.

10131131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131131310 is an abundant number, since it is smaller than the sum of its proper divisors (15670880850).

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

10131131310 is a wasteful number, since it uses less digits than its factorization.

10131131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248953.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10131131310 its reverse (1313113101), we get a palindrome (11444244411).

The spelling of 10131131310 in words is "ten billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 230 295 345 354 590 690 885 1357 1770 2714 4071 6785 8142 13570 20355 40710 248861 497722 746583 1244305 1493166 2488610 3732915 5723803 7465830 11447606 14682799 17171409 28619015 29365598 34342818 44048397 57238030 73413995 85857045 88096794 146827990 171714090 220241985 337704377 440483970 675408754 1013113131 1688521885 2026226262 3377043770 5065565655 10131131310