Search a number
-
+
112500832500 = 2233547457521
BaseRepresentation
bin110100011000110010…
…0100111100011110100
3101202101101011102122000
41220301210213203310
53320400203120000
6123403203135300
711061606204210
oct1506144474364
9352341142560
10112500832500
1143790872631
1219978374530
13a7bb65b254
1456333ad940
152dd693a000
hex1a319278f4

112500832500 has 480 divisors, whose sum is σ = 418249117440. Its totient is φ = 25608960000.

The previous prime is 112500832469. The next prime is 112500832513. The reversal of 112500832500 is 5238005211.

It is a happy number.

112500832500 is a `hidden beast` number, since 1 + 125 + 0 + 0 + 8 + 32 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

112500832500 is a modest number, since divided by 832500 gives 112500 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 215932240 + ... + 215932760.

It is an arithmetic number, because the mean of its divisors is an integer number (871352328).

Almost surely, 2112500832500 is an apocalyptic number.

112500832500 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 112500832500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209124558720).

112500832500 is an abundant number, since it is smaller than the sum of its proper divisors (305748284940).

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

112500832500 is a wasteful number, since it uses less digits than its factorization.

112500832500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 112500832500 its reverse (5238005211), we get a palindrome (117738837711).

The spelling of 112500832500 in words is "one hundred twelve billion, five hundred million, eight hundred thirty-two thousand, five hundred".