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132220022231 = 114110127110711
BaseRepresentation
bin111101100100011101…
…1010110110111010111
3110122021122022001121102
41323020323112313113
54131241311202411
6140424021540315
712360351434243
oct1731073266727
9418248261542
10132220022231
115108a834750
122176027469b
13c611ac675b
146584279423
15368cbd7d3b
hex1ec8ed6dd7

132220022231 has 32 divisors (see below), whose sum is σ = 149785638912. Its totient is φ = 115668000000.

The previous prime is 132220022153. The next prime is 132220022267.

It is a happy number.

132220022231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 132220022231 - 218 = 132219760087 is a prime.

It is a super-2 number, since 2×1322200222312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220022281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12338966 + ... + 12349676.

It is an arithmetic number, because the mean of its divisors is an integer number (4680801216).

Almost surely, 2132220022231 is an apocalyptic number.

132220022231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132220022231 is a deficient number, since it is larger than the sum of its proper divisors (17565616681).

132220022231 is a wasteful number, since it uses less digits than its factorization.

132220022231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11135.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 1322200 and 22231, that added together give a palindrome (1344431).

The spelling of 132220022231 in words is "one hundred thirty-two billion, two hundred twenty million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 41 101 271 451 1111 2981 4141 10711 11111 27371 45551 117821 122221 301081 439151 1081811 1122211 2902681 4830661 11899921 12344321 31929491 44354251 119009921 293170781 487896761 1309109131 3224878591 12020002021 132220022231