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125214025000 = 235529172709
BaseRepresentation
bin111010010011101010…
…1100110010100101000
3102222012101021112011111
41310213111212110220
54022414242300000
6133304511040104
712021630436321
oct1644725462450
9388171245144
10125214025000
1149115064299
1220325b10034
13ba664a0b6c
1460bb9db448
1533ccad6cba
hex1d27566528

125214025000 has 96 divisors (see below), whose sum is σ = 303572367000. Its totient is φ = 48358240000.

The previous prime is 125214024983. The next prime is 125214025009. The reversal of 125214025000 is 520412521.

It can be written as a sum of positive squares in 12 ways, for example, as 18586959556 + 106627065444 = 136334^2 + 326538^2 .

It is not an unprimeable number, because it can be changed into a prime (125214025009) 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, 638646 + ... + 811354.

Almost surely, 2125214025000 is an apocalyptic number.

125214025000 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 125214025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151786183500).

125214025000 is an abundant number, since it is smaller than the sum of its proper divisors (178358342000).

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

125214025000 is an equidigital number, since it uses as much as digits as its factorization.

125214025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172769 (or 172745 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 125214025000 its reverse (520412521), we get a palindrome (125734437521).

The spelling of 125214025000 in words is "one hundred twenty-five billion, two hundred fourteen million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 625 725 1000 1160 1250 1450 2500 2900 3125 3625 5000 5800 6250 7250 12500 14500 18125 25000 29000 36250 72500 90625 145000 172709 181250 345418 362500 690836 725000 863545 1381672 1727090 3454180 4317725 5008561 6908360 8635450 10017122 17270900 20034244 21588625 25042805 34541800 40068488 43177250 50085610 86354500 100171220 107943125 125214025 172709000 200342440 215886250 250428050 431772500 500856100 539715625 626070125 863545000 1001712200 1079431250 1252140250 2158862500 2504280500 3130350625 4317725000 5008561000 6260701250 12521402500 15651753125 25042805000 31303506250 62607012500 125214025000