Search a number
-
+
12370095225 = 34526108689
BaseRepresentation
bin10111000010101000…
…01010110001111001
31011221002111221120000
423201110022301321
5200313221021400
65403250023213
7615354034365
oct134124126171
934832457500
1012370095225
1152786616a4
122492877b09
131221a35597
14854c3a2a5
154c5ec8600
hex2e150ac79

12370095225 has 30 divisors (see below), whose sum is σ = 22913696190. Its totient is φ = 6597383040.

The previous prime is 12370095211. The next prime is 12370095239. The reversal of 12370095225 is 52259007321.

12370095225 is a `hidden beast` number, since 123 + 7 + 0 + 0 + 9 + 522 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12370095211) and next prime (12370095239).

It can be written as a sum of positive squares in 3 ways, for example, as 907395129 + 11462700096 = 30123^2 + 107064^2 .

It is not a de Polignac number, because 12370095225 - 24 = 12370095209 is a prime.

It is a super-3 number, since 3×123700952253 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12370095225.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3052320 + ... + 3056369.

It is an arithmetic number, because the mean of its divisors is an integer number (763789873).

Almost surely, 212370095225 is an apocalyptic number.

12370095225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12370095225 is a deficient number, since it is larger than the sum of its proper divisors (10543600965).

12370095225 is an equidigital number, since it uses as much as digits as its factorization.

12370095225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108711 (or 6108697 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12370095225 in words is "twelve billion, three hundred seventy million, ninety-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 6108689 18326067 30543445 54978201 91630335 152717225 164934603 274891005 458151675 494803809 824673015 1374455025 2474019045 4123365075 12370095225