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131142422220972 = 22337535572939921
BaseRepresentation
bin11101110100010111111001…
…011111011101000010101100
3122012100002111212222011111220
4131310113321133131002230
5114142114140042032342
61142525555210543340
736423504322312521
oct3564277137350254
9565302455864456
10131142422220972
1138871209516778
1212860343a37b50
1358238a61ab956
1424554817d9148
1510264ae4e65ec
hex7745f97dd0ac

131142422220972 has 48 divisors (see below), whose sum is σ = 320198836158432. Its totient is φ = 41730174120960.

The previous prime is 131142422220967. The next prime is 131142422220973. The reversal of 131142422220972 is 279022224241131.

It is not an unprimeable number, because it can be changed into a prime (131142422220973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2786446429 + ... + 2786493492.

It is an arithmetic number, because the mean of its divisors is an integer number (6670809086634).

Almost surely, 2131142422220972 is an apocalyptic number.

131142422220972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131142422220972 is an abundant number, since it is smaller than the sum of its proper divisors (189056413937460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131142422220972 is a wasteful number, since it uses less digits than its factorization.

131142422220972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572940018 (or 5572940016 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 131142422220972 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 37 53 74 106 111 148 159 212 222 318 444 636 1961 3922 5883 7844 11766 23532 5572939921 11145879842 16718819763 22291759684 33437639526 66875279052 206198777077 295365815813 412397554154 590731631626 618596331231 824795108308 886097447439 1181463263252 1237192662462 1772194894878 2474385324924 3544389789756 10928535185081 21857070370162 32785605555243 43714140740324 65571211110486 131142422220972