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132221404122231 = 33710515503205957
BaseRepresentation
bin11110000100000100110001…
…110100110000110001110111
3122100011020112222202220002010
4132010010301310300301313
5114312303413423402411
61145113401405415303
736564452440202334
oct3604046164606167
9570136488686063
10132221404122231
1139147867693026
12129b548886a533
1358a156a6a61b8
14249179b6bb98b
1510445aeb727a6
hex784131d30c77

132221404122231 has 32 divisors (see below), whose sum is σ = 181266028208128. Its totient is φ = 85667645347200.

The previous prime is 132221404122211. The next prime is 132221404122257.

132221404122231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132221404122231 - 26 = 132221404122167 is a prime.

It is a super-2 number, since 2×1322214041222312 (a number of 29 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 (132221404122211) 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, 641882505 + ... + 642088461.

It is an arithmetic number, because the mean of its divisors is an integer number (5664563381504).

Almost surely, 2132221404122231 is an apocalyptic number.

132221404122231 is a deficient number, since it is larger than the sum of its proper divisors (49044624085897).

132221404122231 is a wasteful number, since it uses less digits than its factorization.

132221404122231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212551.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 13222140 and 4122231, that added together give a palindrome (17344371).

The spelling of 132221404122231 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, four hundred four million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 37 111 1051 3153 5503 16509 38887 116661 203611 205957 610833 617871 5783653 7620409 17350959 22861227 213995161 216460807 641985483 649382421 1133381371 3400144113 8009049859 24027149577 41935110727 125805332181 1191183820921 3573551462763 44073801374077 132221404122231