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10131330100 = 22521931172009
BaseRepresentation
bin10010110111101111…
…11101010000110100
3222011001212220011011
421123313331100310
5131222110030400
64353153322004
7506030612353
oct113367752064
928131786134
1010131330100
114329965291
121b68b66304
13c55c804a8
146c178b99a
153e46a08ba
hex25bdfd434

10131330100 has 72 divisors (see below), whose sum is σ = 23888748800. Its totient is φ = 3715372800.

The previous prime is 10131330073. The next prime is 10131330101. The reversal of 10131330100 is 103313101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131330101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27105 + ... + 144904.

Almost surely, 210131330100 is an apocalyptic number.

10131330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131330100 is an abundant number, since it is smaller than the sum of its proper divisors (13757418700).

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

10131330100 is a wasteful number, since it uses less digits than its factorization.

10131330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172073 (or 172066 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10131330100 its reverse (103313101), we get a palindrome (10234643201).

The spelling of 10131330100 in words is "ten billion, one hundred thirty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 310 380 475 589 620 775 950 1178 1550 1900 2356 2945 3100 5890 11780 14725 29450 58900 172009 344018 688036 860045 1720090 3268171 3440180 4300225 5332279 6536342 8600450 10664558 13072684 16340855 17200900 21329116 26661395 32681710 53322790 65363420 81704275 101313301 106645580 133306975 163408550 202626602 266613950 326817100 405253204 506566505 533227900 1013133010 2026266020 2532832525 5065665050 10131330100