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10135642152 = 2331971721419
BaseRepresentation
bin10010111000010000…
…11010000000101000
3222011100222222011210
421130020122000220
5131224211022102
64353425553120
7506112352056
oct113410320050
928140888153
1010135642152
11433133aa69
121b6a4a57a0
13c56b300bc
146c21911d6
153e4c5336c
hex25c21a028

10135642152 has 32 divisors (see below), whose sum is σ = 25341573600. Its totient is φ = 3378218304.

The previous prime is 10135642151. The next prime is 10135642157. The reversal of 10135642152 is 25124653101.

It is a super-2 number, since 2×101356421522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10135642151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462499 + ... + 483917.

It is an arithmetic number, because the mean of its divisors is an integer number (791924175).

Almost surely, 210135642152 is an apocalyptic number.

10135642152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10135642152 is an abundant number, since it is smaller than the sum of its proper divisors (15205931448).

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

10135642152 is a wasteful number, since it uses less digits than its factorization.

10135642152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41145 (or 41141 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10135642152 in words is "ten billion, one hundred thirty-five million, six hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 19717 21419 39434 42838 59151 64257 78868 85676 118302 128514 157736 171352 236604 257028 473208 514056 422318423 844636846 1266955269 1689273692 2533910538 3378547384 5067821076 10135642152