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125341133130 = 2335487953237
BaseRepresentation
bin111010010111011101…
…0011110100101001010
3102222112020110021202000
41310232322132211022
54023144312230010
6133325251251430
712025033024053
oct1645672364512
9388466407660
10125341133130
114917a890534
12203605a9b76
13ba86916285
1460d084772a
1533d8d437c0
hex1d2ee9e94a

125341133130 has 64 divisors (see below), whose sum is σ = 334929703680. Its totient is φ = 33355634112.

The previous prime is 125341133123. The next prime is 125341133147. The reversal of 125341133130 is 31331143521.

125341133130 is a `hidden beast` number, since 1 + 2 + 5 + 341 + 1 + 3 + 313 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125341133094 and 125341133103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345129 + ... + 608108.

It is an arithmetic number, because the mean of its divisors is an integer number (5233276620).

Almost surely, 2125341133130 is an apocalyptic number.

125341133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125341133130 is an abundant number, since it is smaller than the sum of its proper divisors (209588570550).

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

125341133130 is a wasteful number, since it uses less digits than its factorization.

125341133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953740 (or 953734 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 125341133130 its reverse (31331143521), we get a palindrome (156672276651).

The spelling of 125341133130 in words is "one hundred twenty-five billion, three hundred forty-one million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 487 974 1461 2435 2922 4383 4870 7305 8766 13149 14610 21915 26298 43830 65745 131490 953237 1906474 2859711 4766185 5719422 8579133 9532370 14298555 17158266 25737399 28597110 42895665 51474798 85791330 128686995 257373990 464226419 928452838 1392679257 2321132095 2785358514 4178037771 4642264190 6963396285 8356075542 12534113313 13926792570 20890188855 25068226626 41780377710 62670566565 125341133130