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125254120332 = 2231112711176689
BaseRepresentation
bin111010010100110111…
…0100011001110001100
3102222022011201120121210
41310221232203032030
54023010023322312
6133312502254420
712022625312325
oct1645156431614
9388264646553
10125254120332
114913575a530
1220337427410
13ba7189bc03
1460c307744c
1533d13a6e3c
hex1d29ba338c

125254120332 has 96 divisors (see below), whose sum is σ = 321674895360. Its totient is φ = 37617592320.

The previous prime is 125254120319. The next prime is 125254120339. The reversal of 125254120332 is 233021452521.

It is a self number, because there is not a number n which added to its sum of digits gives 125254120332.

It is not an unprimeable number, because it can be changed into a prime (125254120339) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18722044 + ... + 18728732.

It is an arithmetic number, because the mean of its divisors is an integer number (3350780160).

Almost surely, 2125254120332 is an apocalyptic number.

125254120332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125254120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160837447680).

125254120332 is an abundant number, since it is smaller than the sum of its proper divisors (196420775028).

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

125254120332 is a wasteful number, since it uses less digits than its factorization.

125254120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 125254120332 its reverse (233021452521), we get a palindrome (358275572853).

The spelling of 125254120332 in words is "one hundred twenty-five billion, two hundred fifty-four million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1117 1397 1524 2234 2794 3351 4191 4468 5588 6689 6702 8382 12287 13378 13404 16764 20067 24574 26756 36861 40134 49148 73579 73722 80268 141859 147158 147444 220737 283718 294316 425577 441474 567436 849503 851154 882948 1560449 1699006 1702308 2548509 3120898 3398012 4681347 5097018 6241796 7471613 9344533 9362694 10194036 14943226 18689066 18725388 22414839 28033599 29886452 37378132 44829678 56067198 82187743 89659356 112134396 164375486 246563229 328750972 493126458 948894851 986252916 1897789702 2846684553 3795579404 5693369106 10437843361 11386738212 20875686722 31313530083 41751373444 62627060166 125254120332