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135532235531 = 711171494091699
BaseRepresentation
bin111111000111001011…
…0011100101100001011
3110221211110210221002002
41332032112130230023
54210032223014111
6142132422101215
712535420664630
oct1761626345413
9427743727062
10135532235531
115252a460610
122232557a80b
13ca1c093b94
1467ba114187
1537d389e63b
hex1f8e59cb0b

135532235531 has 64 divisors (see below), whose sum is σ = 180662400000. Its totient is φ = 98430750720.

The previous prime is 135532235483. The next prime is 135532235543.

135532235531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135532235531 - 222 = 135528041227 is a prime.

It is a super-2 number, since 2×1355322355312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135532235561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79770920 + ... + 79772618.

It is an arithmetic number, because the mean of its divisors is an integer number (2822850000).

Almost surely, 2135532235531 is an apocalyptic number.

135532235531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135532235531 is a deficient number, since it is larger than the sum of its proper divisors (45130164469).

135532235531 is a wasteful number, since it uses less digits than its factorization.

135532235531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292.

The product of its digits is 202500, while the sum is 38.

The spelling of 135532235531 in words is "one hundred thirty-five billion, five hundred thirty-two million, two hundred thirty-five thousand, five hundred thirty-one".

Divisors: 1 7 11 17 77 119 149 187 409 1043 1309 1639 1699 2533 2863 4499 6953 11473 11893 17731 18689 27863 28883 31493 48671 60941 76483 130823 195041 202181 253151 317713 426587 535381 670351 694891 1035997 1772057 2223991 2784661 4303567 4692457 4864237 7251979 7643801 11395967 11813147 19492627 30124969 47339237 53506607 79771769 82692029 103538759 129944617 331374659 724771313 909612319 1138926349 1760158903 7972484443 12321112321 19361747933 135532235531