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125005014232 = 23711360132869
BaseRepresentation
bin111010001101011100…
…0010010010011011000
3102221122210222200021221
41310122320102103120
54022002240423412
6133232043141424
712013512042430
oct1643270222330
9387583880257
10125005014232
114901808741a
1220287b14874
13ba320b0357
14609bd512c0
1533b959cb07
hex1d1ae124d8

125005014232 has 64 divisors (see below), whose sum is σ = 270696283200. Its totient is φ = 53009510400.

The previous prime is 125005014221. The next prime is 125005014241. The reversal of 125005014232 is 232410500521.

It is a junction number, because it is equal to n+sod(n) for n = 125005014197 and 125005014206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3786694 + ... + 3819562.

It is an arithmetic number, because the mean of its divisors is an integer number (4229629425).

Almost surely, 2125005014232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125005014232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135348141600).

125005014232 is an abundant number, since it is smaller than the sum of its proper divisors (145691268968).

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

125005014232 is a wasteful number, since it uses less digits than its factorization.

125005014232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33596 (or 33592 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 125005014232 its reverse (232410500521), we get a palindrome (357415514753).

The spelling of 125005014232 in words is "one hundred twenty-five billion, five million, fourteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 601 791 904 1202 1582 2404 3164 4207 4808 6328 8414 16828 32869 33656 65738 67913 131476 135826 230083 262952 271652 460166 475391 543304 920332 950782 1840664 1901564 3714197 3803128 7428394 14856788 19754269 25999379 29713576 39508538 51998758 79017076 103997516 138279883 158034152 207995032 276559766 553119532 1106239064 2232232397 4464464794 8928929588 15625626779 17857859176 31251253558 62502507116 125005014232