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113247264312 = 233271319318951
BaseRepresentation
bin110100101111000010…
…0000001111000111000
3101211022101201002120200
41221132010001320320
53323412244424222
6124005225522200
711116241602230
oct1513604017070
9354271632520
10113247264312
1144034145926
1219b46343360
13a8aa1a6890
1456a4592cc0
152e2c22eeac
hex1a5e101e38

113247264312 has 192 divisors, whose sum is σ = 377728565760. Its totient is φ = 29848608000.

The previous prime is 113247264307. The next prime is 113247264341. The reversal of 113247264312 is 213462742311.

113247264312 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 7 + 2 + 643 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12647437 + ... + 12656387.

It is an arithmetic number, because the mean of its divisors is an integer number (1967336280).

Almost surely, 2113247264312 is an apocalyptic number.

113247264312 is a gapful number since it is divisible by the number (12) 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 113247264312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188864282880).

113247264312 is an abundant number, since it is smaller than the sum of its proper divisors (264481301448).

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

113247264312 is a wasteful number, since it uses less digits than its factorization.

113247264312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 10907 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 113247264312 in words is "one hundred thirteen billion, two hundred forty-seven million, two hundred sixty-four thousand, three hundred twelve".