Search a number
-
+
112450257000 = 23325317977577
BaseRepresentation
bin110100010111010001…
…1101100000001101000
3101202020211222221002100
41220232203230001220
53320244231211000
6123354155133400
711060423261604
oct1505643540150
9352224887070
10112450257000
11437652694a4
1219963444260
13a7b1030c13
14562a7a6504
152dd2299a00
hex1a2e8ec068

112450257000 has 384 divisors, whose sum is σ = 406642148640. Its totient is φ = 27928166400.

The previous prime is 112450256929. The next prime is 112450257013. The reversal of 112450257000 is 752054211.

It can be written as a sum of positive squares in 16 ways, for example, as 20637620964 + 91812636036 = 143658^2 + 303006^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14837212 + ... + 14844788.

Almost surely, 2112450257000 is an apocalyptic number.

112450257000 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 112450257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203321074320).

112450257000 is an abundant number, since it is smaller than the sum of its proper divisors (294191891640).

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

112450257000 is a wasteful number, since it uses less digits than its factorization.

112450257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 112450257000 in words is "one hundred twelve billion, four hundred fifty million, two hundred fifty-seven thousand".