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10135143504 = 2432174140173
BaseRepresentation
bin10010111000001101…
…00000010001010000
3222011100001122011100
421130012200101100
5131224044043004
64353411144400
7506105204223
oct113406402120
928140048140
1010135143504
11433102a362
121b6a2a5100
13c569b7145
146c20a15ba
153e4ba5739
hex25c1a0450

10135143504 has 60 divisors (see below), whose sum is σ = 30032822196. Its totient is φ = 3179652096.

The previous prime is 10135143493. The next prime is 10135143509. The reversal of 10135143504 is 40534153101.

It is a happy number.

10135143504 is a `hidden beast` number, since 1 + 0 + 13 + 5 + 143 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8436055104 + 1699088400 = 91848^2 + 41220^2 .

It is a super-2 number, since 2×101351435042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135143509) 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 11 ways as a sum of consecutive naturals, for example, 2067639 + ... + 2072534.

Almost surely, 210135143504 is an apocalyptic number.

It is an amenable number.

10135143504 is an abundant number, since it is smaller than the sum of its proper divisors (19897678692).

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

10135143504 is a wasteful number, since it uses less digits than its factorization.

10135143504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140204 (or 4140195 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10135143504 its reverse (40534153101), we get a palindrome (50669296605).

The spelling of 10135143504 in words is "ten billion, one hundred thirty-five million, one hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4140173 8280346 12420519 16560692 24841038 33121384 37261557 49682076 66242768 70382941 74523114 99364152 140765882 149046228 198728304 211148823 281531764 298092456 422297646 563063528 596184912 633446469 844595292 1126127056 1266892938 1689190584 2533785876 3378381168 5067571752 10135143504