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122131104 = 2532355313
BaseRepresentation
bin1110100011110…
…01001010100000
322111210220101020
413101321022200
5222231143404
620041405440
73012045234
oct721711240
9274726336
10122131104
1162a379a7
1234a99880
131c3c1c34
14123125c4
15aac6ed9
hex74792a0

122131104 has 48 divisors (see below), whose sum is σ = 334539072. Its totient is φ = 38939648.

The previous prime is 122131091. The next prime is 122131123. The reversal of 122131104 is 401131221.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25449 + ... + 29864.

It is an arithmetic number, because the mean of its divisors is an integer number (6969564).

Almost surely, 2122131104 is an apocalyptic number.

It is an amenable number.

122131104 is an abundant number, since it is smaller than the sum of its proper divisors (212407968).

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

122131104 is a wasteful number, since it uses less digits than its factorization.

122131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55349 (or 55341 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 122131104 is about 11051.2942228501. The cubic root of 122131104 is about 496.1451621598.

Adding to 122131104 its reverse (401131221), we get a palindrome (523262325).

The spelling of 122131104 in words is "one hundred twenty-two million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 55313 110626 165939 221252 331878 442504 663756 885008 1272199 1327512 1770016 2544398 2655024 3816597 5088796 5310048 7633194 10177592 15266388 20355184 30532776 40710368 61065552 122131104