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125422132032 = 2632593690623
BaseRepresentation
bin111010011001110111…
…1011101101101000000
3102222201212212110100100
41310303233131231000
54023331031211112
6133341303322400
712030035350341
oct1646357355500
9388655773310
10125422132032
114921158417a
1220383750400
13ba9a636212
1460db4d00c8
1533e0ee32dc
hex1d33bddb40

125422132032 has 84 divisors (see below), whose sum is σ = 365593213440. Its totient is φ = 41098766592.

The previous prime is 125422132021. The next prime is 125422132039. The reversal of 125422132032 is 230231224521.

125422132032 is a `hidden beast` number, since 1 + 25 + 422 + 13 + 203 + 2 = 666.

It is a super-2 number, since 2×1254221320322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125422131987 and 125422132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125422132039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1811328 + ... + 1879295.

It is an arithmetic number, because the mean of its divisors is an integer number (4352300160).

Almost surely, 2125422132032 is an apocalyptic number.

125422132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125422132032 is an abundant number, since it is smaller than the sum of its proper divisors (240171081408).

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

125422132032 is a wasteful number, since it uses less digits than its factorization.

125422132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690700 (or 3690687 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 125422132032 its reverse (230231224521), we get a palindrome (355653356553).

The spelling of 125422132032 in words is "one hundred twenty-five billion, four hundred twenty-two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 8496 11328 16992 33984 3690623 7381246 11071869 14762492 22143738 29524984 33215607 44287476 59049968 66431214 88574952 118099936 132862428 177149904 217746757 236199872 265724856 354299808 435493514 531449712 653240271 708599616 870987028 1062899424 1306480542 1741974056 1959720813 2125798848 2612961084 3483948112 3919441626 5225922168 6967896224 7838883252 10451844336 13935792448 15677766504 20903688672 31355533008 41807377344 62711066016 125422132032