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135350053531 = 711471271811627
BaseRepresentation
bin111111000001101111…
…1011110101010011011
3110221100210000010100121
41332003133132222123
54204144103203111
6142102353214111
712531046321030
oct1760337365233
9427323003317
10135350053531
1152446638580
1222294561337
13c9c0407a94
14679dc4d387
1537c28b4871
hex1f837dea9b

135350053531 has 64 divisors (see below), whose sum is σ = 174762491904. Its totient is φ = 101782396800.

The previous prime is 135350053511. The next prime is 135350053541.

135350053531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135350053531 - 217 = 135349922459 is a prime.

It is a super-2 number, since 2×1353500535312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135350053511) 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, 83189140 + ... + 83190766.

It is an arithmetic number, because the mean of its divisors is an integer number (2730663936).

Almost surely, 2135350053531 is an apocalyptic number.

135350053531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135350053531 is a deficient number, since it is larger than the sum of its proper divisors (39412438373).

135350053531 is a wasteful number, since it uses less digits than its factorization.

135350053531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000.

The product of its (nonzero) digits is 50625, while the sum is 34.

The spelling of 135350053531 in words is "one hundred thirty-five billion, three hundred fifty million, fifty-three thousand, five hundred thirty-one".

Divisors: 1 7 11 47 77 127 181 329 517 889 1267 1397 1627 1991 3619 5969 8507 9779 11389 13937 17897 22987 41783 59549 65659 76469 93577 125279 160909 206629 252857 294487 459613 535283 655039 841159 1080389 1446403 1769999 2061409 2272919 3239357 5888113 7562723 9711563 11884279 13840889 15910433 22675499 37399849 67980941 83189953 96886223 106827193 152249779 261798943 411398339 747790351 1065748453 1757792903 2879788373 12304550321 19335721933 135350053531