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125415021100 = 225229337112829
BaseRepresentation
bin111010011001101010…
…0010101101000101100
3102222201101111011222111
41310303110111220230
54023322221133400
6133340451053404
712026621042635
oct1646324255054
9388641434874
10125415021100
1149208567676
12203812a1264
13ba99016675
1460da59c88c
1533e058b3ba
hex1d33515a2c

125415021100 has 72 divisors (see below), whose sum is σ = 281640567600. Its totient is φ = 48418003200.

The previous prime is 125415021079. The next prime is 125415021101. The reversal of 125415021100 is 1120514521.

It is not an unprimeable number, because it can be changed into a prime (125415021101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9769486 + ... + 9782314.

It is an arithmetic number, because the mean of its divisors is an integer number (3911674550).

Almost surely, 2125415021100 is an apocalyptic number.

125415021100 is a gapful number since it is divisible by the number (10) 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 125415021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140820283800).

125415021100 is an abundant number, since it is smaller than the sum of its proper divisors (156225546500).

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

125415021100 is a wasteful number, since it uses less digits than its factorization.

125415021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16243 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 125415021100 its reverse (1120514521), we get a palindrome (126535535621).

The spelling of 125415021100 in words is "one hundred twenty-five billion, four hundred fifteen million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3371 6742 12829 13484 16855 25658 33710 51316 64145 67420 84275 97759 128290 168550 195518 256580 320725 337100 372041 391036 488795 641450 744082 977590 1282900 1488164 1860205 1955180 2443975 3720410 4887950 7440820 9301025 9775900 18602050 37204100 43246559 86493118 172986236 216232795 432465590 864931180 1081163975 1254150211 2162327950 2508300422 4324655900 5016600844 6270751055 12541502110 25083004220 31353755275 62707510550 125415021100