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125145026325 = 3452115618183
BaseRepresentation
bin111010010001100111…
…0011000111100010101
3102222000120110000210000
41310203032120330111
54022244111320300
6133254004121513
712020132113104
oct1644316307425
9388016400700
10125145026325
114908a1175a0
1220306996299
13ba550c3047
1460b279a03b
1533c6a07c00
hex1d23398f15

125145026325 has 60 divisors (see below), whose sum is σ = 252885698208. Its totient is φ = 60676365600.

The previous prime is 125145026311. The next prime is 125145026339. The reversal of 125145026325 is 523620541521.

125145026325 is a `hidden beast` number, since 1 + 2 + 5 + 14 + 5 + 0 + 2 + 632 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (125145026311) and next prime (125145026339).

It is not a de Polignac number, because 125145026325 - 225 = 125111471893 is a prime.

It is a super-2 number, since 2×1251450263252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125145026325.

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 59 ways as a sum of consecutive naturals, for example, 2786817 + ... + 2831366.

Almost surely, 2125145026325 is an apocalyptic number.

125145026325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125145026325 is an abundant number, since it is smaller than the sum of its proper divisors (127740671883).

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

125145026325 is a wasteful number, since it uses less digits than its factorization.

125145026325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618216 (or 5618202 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 125145026325 its reverse (523620541521), we get a palindrome (648765567846).

The spelling of 125145026325 in words is "one hundred twenty-five billion, one hundred forty-five million, twenty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 2025 2475 4455 7425 22275 5618183 16854549 28090915 50563647 61800013 84272745 140454575 151690941 185400039 252818235 309000065 421363725 455072823 556200117 758454705 927000195 1264091175 1545000325 1668600351 2275364115 2781000585 3792273525 4635000975 5005801053 8343001755 11376820575 13905002925 25029005265 41715008775 125145026325