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135856658531 = 111910156911311
BaseRepresentation
bin111111010000110110…
…0000001100001100011
3110222200002021022202202
41332201230001201203
54211213301033111
6142224531403415
712546440354366
oct1764154014143
9428602238682
10135856658531
11526865a63a0
12223b615356b
13ca71363359
14680b2440dd
1538020d4b3b
hex1fa1b01863

135856658531 has 32 divisors (see below), whose sum is σ = 157843123200. Its totient is φ = 115633440000.

The previous prime is 135856658471. The next prime is 135856658551.

It is a happy number.

135856658531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 135856658531 - 226 = 135789549667 is a prime.

It is a super-2 number, since 2×1358566585312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135856658551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12005366 + ... + 12016676.

It is an arithmetic number, because the mean of its divisors is an integer number (4932597600).

Almost surely, 2135856658531 is an apocalyptic number.

135856658531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135856658531 is a deficient number, since it is larger than the sum of its proper divisors (21986464669).

135856658531 is a wasteful number, since it uses less digits than its factorization.

135856658531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12011.

The product of its digits is 12960000, while the sum is 56.

The spelling of 135856658531 in words is "one hundred thirty-five billion, eight hundred fifty-six million, six hundred fifty-eight thousand, five hundred thirty-one".

Divisors: 1 11 19 101 209 569 1111 1919 6259 10811 11311 21109 57469 118921 124421 214909 632159 1091911 1142411 2363999 6435959 12011021 12566521 21705809 70795549 122283221 238763899 650031859 1345115431 7150350449 12350605321 135856658531