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135244442531 = 11174261169733
BaseRepresentation
bin111110111110100110…
…0100110101110100011
3110221002102021112022002
41331331030212232203
54203440034130111
6142044101434215
712525324536162
oct1757514465643
9427072245262
10135244442531
11523a1a64460
122226510b96b
13c9a457b373
14678dbdb3d9
1537b84a263b
hex1f7d326ba3

135244442531 has 16 divisors (see below), whose sum is σ = 156255762528. Its totient is φ = 115689331200.

The previous prime is 135244442479. The next prime is 135244442563.

135244442531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 135244442531 - 226 = 135177333667 is a prime.

It is a super-2 number, since 2×1352444425312 (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 (135244442831) 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 15 ways as a sum of consecutive naturals, for example, 711941 + ... + 881673.

It is an arithmetic number, because the mean of its divisors is an integer number (9765985158).

Almost surely, 2135244442531 is an apocalyptic number.

135244442531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135244442531 is a deficient number, since it is larger than the sum of its proper divisors (21011319997).

135244442531 is a wasteful number, since it uses less digits than its factorization.

135244442531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174022.

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 135244 and 442531, that added together give a palindrome (577775).

The spelling of 135244442531 in words is "one hundred thirty-five billion, two hundred forty-four million, four hundred forty-two thousand, five hundred thirty-one".

Divisors: 1 11 17 187 4261 46871 72437 169733 796807 1867063 2885461 31740071 723232313 7955555443 12294949321 135244442531