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125135001252 = 22331580973291
BaseRepresentation
bin111010010001010100…
…0001001011010100100
3102221222212120200222000
41310202220021122210
54022234030020002
6133253005205300
712016650650352
oct1644250113244
9387885520860
10125135001252
114908449a608
1220303560830
13ba52cc2c51
1460b130a7d2
1533c5bc761c
hex1d22a096a4

125135001252 has 48 divisors (see below), whose sum is σ = 324449025600. Its totient is φ = 41708459520.

The previous prime is 125135001193. The next prime is 125135001253. The reversal of 125135001252 is 252100531521.

125135001252 is a `hidden beast` number, since 1 + 25 + 13 + 500 + 125 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125135001253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1670727 + ... + 1744017.

It is an arithmetic number, because the mean of its divisors is an integer number (6759354700).

Almost surely, 2125135001252 is an apocalyptic number.

125135001252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125135001252 is an abundant number, since it is smaller than the sum of its proper divisors (199314024348).

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

125135001252 is a wasteful number, since it uses less digits than its factorization.

125135001252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89113 (or 89105 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 125135001252 its reverse (252100531521), we get a palindrome (377235532773).

The spelling of 125135001252 in words is "one hundred twenty-five billion, one hundred thirty-five million, one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 15809 31618 47427 63236 73291 94854 142281 146582 189708 219873 284562 293164 426843 439746 569124 659619 853686 879492 1319238 1707372 1978857 2638476 3957714 7915428 1158657419 2317314838 3475972257 4634629676 6951944514 10427916771 13903889028 20855833542 31283750313 41711667084 62567500626 125135001252