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132113222311231 = 77313725719973677
BaseRepresentation
bin11110000010100000000001…
…101011111001110100111111
3122022202220022121121111010101
4132002200001223321310333
5114304020334402424411
61144551550530021531
736553602544033420
oct3602400153716477
9568686277544111
10132113222311231
11391059a28a0257
1212998516a178a7
1358942b9a97395
14248a457b87647
15104187c4c78c1
hex782801af9d3f

132113222311231 has 64 divisors (see below), whose sum is σ = 154891543617792. Its totient is φ = 110356688535552.

The previous prime is 132113222311229. The next prime is 132113222311237.

132113222311231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 132113222311231 - 21 = 132113222311229 is a prime.

It is a super-2 number, since 2×1321132223112312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132113222311231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132113222311237) 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, 35929620765 + ... + 35929624441.

It is an arithmetic number, because the mean of its divisors is an integer number (2420180369028).

Almost surely, 2132113222311231 is an apocalyptic number.

132113222311231 is a deficient number, since it is larger than the sum of its proper divisors (22778321306561).

132113222311231 is a wasteful number, since it uses less digits than its factorization.

132113222311231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148.

The product of its digits is 2592, while the sum is 28.

The spelling of 132113222311231 in words is "one hundred thirty-two trillion, one hundred thirteen billion, two hundred twenty-two million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 7 73 137 257 511 959 1799 1997 3677 10001 13979 18761 25739 35209 70007 131327 145781 246463 268421 273589 503749 513229 944989 1020467 1878947 1915123 2570257 3526243 3592603 6614923 7342969 17991799 19971997 36773677 37465717 51400783 68984197 70312373 129463493 139803979 257415739 262260019 482889379 492186611 536036737 906244451 1005986753 1887143033 3752257159 5132803229 7041907271 9450834989 13210001231 35929622603 66155844923 73437032969 137761441409 258538595521 514059230783 964330089863 1809770168647 18873317473033 132113222311231