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132221222122231 = 1128313994715903
BaseRepresentation
bin11110000100000100100110…
…111110011111001011110111
3122100011020002022022100000101
4132010010212332133023313
5114312303030330402411
61145113331344454531
736564445100214154
oct3604044676371367
9570136068270011
10132221222122231
1139147783984800
12129b543791a447
1358a153ba81ba8
14249178146322b
15104459dbc18c1
hex784126f9f2f7

132221222122231 has 24 divisors (see below), whose sum is σ = 148143251128320. Its totient is φ = 117898566173520.

The previous prime is 132221222122169. The next prime is 132221222122267.

132221222122231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132221222122231 - 219 = 132221221597943 is a prime.

It is a super-2 number, since 2×1322212221222312 (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 132221222122231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221222122831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45961975 + ... + 48753928.

It is an arithmetic number, because the mean of its divisors is an integer number (6172635463680).

Almost surely, 2132221222122231 is an apocalyptic number.

132221222122231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132221222122231 is a deficient number, since it is larger than the sum of its proper divisors (15922029006089).

132221222122231 is a wasteful number, since it uses less digits than its factorization.

132221222122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94716147 (or 94716136 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The spelling of 132221222122231 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 83 121 139 913 1529 10043 11537 16819 126907 1395977 94715903 1041874933 7861419949 11460624263 13165510517 86475619439 144820615687 951231813829 1092737372911 1593026772557 12020111102021 132221222122231