Search a number
-
+
131210125200 = 2432527112371163
BaseRepresentation
bin111101000110010111…
…0111001111110010000
3110112200020222222022200
41322030232321332100
54122204243001300
6140135504203200
712323336443110
oct1721456717620
9415606888280
10131210125200
1150711771100
122151a009500
13c4b080284b
1464ca0b3040
15362e1ee200
hex1e8cbb9f90

131210125200 has 1080 divisors, whose sum is σ = 587956160064. Its totient is φ = 26504755200.

The previous prime is 131210125181. The next prime is 131210125201. The reversal of 131210125200 is 2521012131.

131210125200 is a `hidden beast` number, since 1 + 312 + 101 + 252 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131210125201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 112819819 + ... + 112820981.

Almost surely, 2131210125200 is an apocalyptic number.

131210125200 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 131210125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293978080032).

131210125200 is an abundant number, since it is smaller than the sum of its proper divisors (456746034864).

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

131210125200 is a wasteful number, since it uses less digits than its factorization.

131210125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 131210125200 its reverse (2521012131), we get a palindrome (133731137331).

The spelling of 131210125200 in words is "one hundred thirty-one billion, two hundred ten million, one hundred twenty-five thousand, two hundred".