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125442101532 = 223112941799259
BaseRepresentation
bin111010011010011101…
…1101001000100011100
3102222210021110000100110
41310310323221010130
54023401134222112
6133343255330020
712030400161426
oct1646473510434
9388707400313
10125442101532
11492218835a0
122038a380910
13baa18087a7
14610000b816
1533e2b3a13c
hex1d34ee911c

125442101532 has 96 divisors (see below), whose sum is σ = 338374713600. Its totient is φ = 35806758400.

The previous prime is 125442101513. The next prime is 125442101563. The reversal of 125442101532 is 235101244521.

It is a self number, because there is not a number n which added to its sum of digits gives 125442101532.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242682 + ... + 556577.

It is an arithmetic number, because the mean of its divisors is an integer number (3524736600).

Almost surely, 2125442101532 is an apocalyptic number.

125442101532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125442101532 is an abundant number, since it is smaller than the sum of its proper divisors (212932612068).

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

125442101532 is a wasteful number, since it uses less digits than its factorization.

125442101532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799347 (or 799345 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 125442101532 in words is "one hundred twenty-five billion, four hundred forty-two million, one hundred one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 41 44 58 66 82 87 116 123 132 164 174 246 319 348 451 492 638 902 957 1189 1276 1353 1804 1914 2378 2706 3567 3828 4756 5412 7134 13079 14268 26158 39237 52316 78474 156948 799259 1598518 2397777 3197036 4795554 8791849 9591108 17583698 23178511 26375547 32769619 35167396 46357022 52751094 65539238 69535533 92714044 98308857 105502188 131078476 139071066 196617714 254963621 278142132 360465809 393235428 509927242 720931618 764890863 950318951 1019854484 1081397427 1441863236 1529781726 1900637902 2162794854 2850956853 3059563452 3801275804 4325589708 5701913706 10453508461 11403827412 20907016922 31360525383 41814033844 62721050766 125442101532