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125152437201 = 31119461432983
BaseRepresentation
bin111010010001110101…
…0101010001111010001
3102222001002101112120220
41310203222222033101
54022303010442301
6133254431023253
712020252110131
oct1644352521721
9388032345526
10125152437201
1149093319490
122030936ab29
13ba567b928c
1460b3768ac1
1533c74bd936
hex1d23aaa3d1

125152437201 has 32 divisors (see below), whose sum is σ = 192037063680. Its totient is φ = 71701819200.

The previous prime is 125152437133. The next prime is 125152437203. The reversal of 125152437201 is 102734251521.

It is a happy number.

It is not a de Polignac number, because 125152437201 - 213 = 125152429009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (125152437203) by changing a digit.

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, 72556 + ... + 505538.

It is an arithmetic number, because the mean of its divisors is an integer number (6001158240).

Almost surely, 2125152437201 is an apocalyptic number.

125152437201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125152437201 is a deficient number, since it is larger than the sum of its proper divisors (66884626479).

125152437201 is a wasteful number, since it uses less digits than its factorization.

125152437201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433477.

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 125152437201 its reverse (102734251521), we get a palindrome (227886688722).

The spelling of 125152437201 in words is "one hundred twenty-five billion, one hundred fifty-two million, four hundred thirty-seven thousand, two hundred one".

Divisors: 1 3 11 19 33 57 209 461 627 1383 5071 8759 15213 26277 96349 289047 432983 1298949 4762813 8226677 14288439 24680031 90493447 199605163 271480341 598815489 2195656793 3792498097 6586970379 11377494291 41717479067 125152437201