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10131102100032 = 263293891795439
BaseRepresentation
bin1001001101101101010010…
…1111011110101001000000
31022212112010220221222110220
42103123110233132221000
52311441444114200112
633314055234023040
72063643103662264
oct223332457365100
938775126858426
1010131102100032
113256638022221
121177585717a80
13586488467844
142704c2b220a4
151287ee90498c
hex936d4bdea40

10131102100032 has 56 divisors (see below), whose sum is σ = 26806134652800. Its totient is φ = 3376917244416.

The previous prime is 10131102099973. The next prime is 10131102100039. The reversal of 10131102100032 is 23000120113101.

It is a happy number.

10131102100032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101311021000322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131102099984 and 10131102100020.

It is not an unprimeable number, because it can be changed into a prime (10131102100039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4744969 + ... + 6540407.

Almost surely, 210131102100032 is an apocalyptic number.

10131102100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131102100032 is an abundant number, since it is smaller than the sum of its proper divisors (16675032552768).

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

10131102100032 is a wasteful number, since it uses less digits than its factorization.

10131102100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824843 (or 1824833 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10131102100032 its reverse (23000120113101), we get a palindrome (33131222213133).

The spelling of 10131102100032 in words is "ten trillion, one hundred thirty-one billion, one hundred two million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 29389 58778 88167 117556 176334 235112 352668 470224 705336 940448 1410672 1795439 1880896 2821344 3590878 5386317 5642688 7181756 10772634 14363512 21545268 28727024 43090536 57454048 86181072 114908096 172362144 344724288 52766156771 105532313542 158298470313 211064627084 316596940626 422129254168 633193881252 844258508336 1266387762504 1688517016672 2532775525008 3377034033344 5065551050016 10131102100032