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113247953280 = 273557311193
BaseRepresentation
bin110100101111000011…
…0101010000110000000
3101211022110000002200000
41221132012222012000
53323412434001110
6124005252400000
711116250502000
oct1513606520600
9354273002600
10113247953280
1144034576520
1219b46616000
13a8aa388357
1456a46d2000
152e2c3191c0
hex1a5e1aa180

113247953280 has 1536 divisors, whose sum is σ = 518603904000. Its totient is φ = 23410114560.

The previous prime is 113247953261. The next prime is 113247953333. The reversal of 113247953280 is 82359742311.

It is a happy number.

113247953280 is a `hidden beast` number, since 1 + 1 + 32 + 4 + 7 + 9 + 532 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 586776864 + ... + 586777056.

It is an arithmetic number, because the mean of its divisors is an integer number (337632750).

Almost surely, 2113247953280 is an apocalyptic number.

113247953280 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 113247953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259301952000).

113247953280 is an abundant number, since it is smaller than the sum of its proper divisors (405355950720).

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

113247953280 is an equidigital number, since it uses as much as digits as its factorization.

113247953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 113247953280 in words is "one hundred thirteen billion, two hundred forty-seven million, nine hundred fifty-three thousand, two hundred eighty".