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10132330100 = 22521011003201
BaseRepresentation
bin10010110111110111…
…10001011001110100
3222011010202200220012
421123323301121310
5131222334030400
64353230555352
7506042245664
oct113373613164
928133680805
1010132330100
11432a488632
121b69368b58
13c562406c9
146c196c1a4
153e47ebd35
hex25bef1674

10132330100 has 36 divisors (see below), whose sum is σ = 22204873068. Its totient is φ = 4012800000.

The previous prime is 10132330073. The next prime is 10132330121. The reversal of 10132330100 is 103323101.

It can be written as a sum of positive squares in 6 ways, for example, as 986085604 + 9146244496 = 31402^2 + 95636^2 .

It is a super-2 number, since 2×101323301002 (a number of 21 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 11 ways as a sum of consecutive naturals, for example, 491501 + ... + 511700.

Almost surely, 210132330100 is an apocalyptic number.

10132330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132330100 is an abundant number, since it is smaller than the sum of its proper divisors (12072542968).

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

10132330100 is a wasteful number, since it uses less digits than its factorization.

10132330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003316 (or 1003309 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10132330100 its reverse (103323101), we get a palindrome (10235653201).

The spelling of 10132330100 in words is "ten billion, one hundred thirty-two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 1003201 2006402 4012804 5016005 10032010 20064020 25080025 50160050 100320100 101323301 202646602 405293204 506616505 1013233010 2026466020 2533082525 5066165050 10132330100