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1013135530441 = 171311678113359
BaseRepresentation
bin11101011111000111001…
…01010101100111001001
310120212002011020111202111
432233203211111213021
5113044400143433231
62053232242302321
7133124304630106
oct16574345254711
93525064214674
101013135530441
1136073965a381
121444290579a1
13746cc771368
1437070bb1aad
151b549a3a4b1
hexebe39559c9

1013135530441 has 32 divisors (see below), whose sum is σ = 1089058037760. Its totient is φ = 939154694400.

The previous prime is 1013135530399. The next prime is 1013135530453. The reversal of 1013135530441 is 1440355313101.

It is a cyclic number.

It is not a de Polignac number, because 1013135530441 - 219 = 1013135006153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013135533441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301616520 + ... + 301619878.

It is an arithmetic number, because the mean of its divisors is an integer number (34033063680).

Almost surely, 21013135530441 is an apocalyptic number.

It is an amenable number.

1013135530441 is a deficient number, since it is larger than the sum of its proper divisors (75922507319).

1013135530441 is a wasteful number, since it uses less digits than its factorization.

1013135530441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485.

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 1013135530441 in words is "one trillion, thirteen billion, one hundred thirty-five million, five hundred thirty thousand, four hundred forty-one".

Divisors: 1 17 131 167 811 2227 2839 3359 13787 21877 57103 106241 135437 371909 440029 560953 1806097 2302429 2724149 7480493 9536201 17742247 46310533 73484843 301618199 356863519 454932883 1249242331 6066679823 7733859011 59596207673 1013135530441