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135160061531 = 111910112750417
BaseRepresentation
bin111110111100000101…
…0101101111001011011
3110220212112111112022212
41331320022231321123
54203301433432111
6142031445105335
712523251365345
oct1757012557133
9426775445285
10135160061531
11523593707a0
12222409b824b
13c98cc45b91
146782914295
1537b0d8598b
hex1f782ade5b

135160061531 has 32 divisors (see below), whose sum is σ = 157981777920. Its totient is φ = 114343488000.

The previous prime is 135160061527. The next prime is 135160061537.

135160061531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 135160061531 - 22 = 135160061527 is a prime.

It is a super-2 number, since 2×1351600615312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135160061537) 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, 2655635 + ... + 2706051.

It is an arithmetic number, because the mean of its divisors is an integer number (4936930560).

Almost surely, 2135160061531 is an apocalyptic number.

135160061531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135160061531 is a deficient number, since it is larger than the sum of its proper divisors (22821716389).

135160061531 is a wasteful number, since it uses less digits than its factorization.

135160061531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50675.

The product of its (nonzero) digits is 8100, while the sum is 32.

The spelling of 135160061531 in words is "one hundred thirty-five billion, one hundred sixty million, sixty-one thousand, five hundred thirty-one".

Divisors: 1 11 19 101 127 209 1111 1397 1919 2413 12827 21109 26543 50417 141097 243713 554587 957923 2680843 5092117 6402959 10537153 56013287 70432549 96750223 121656221 646698859 1064252453 1338218431 7113687449 12287278321 135160061531