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113278520320 = 21057107109271
BaseRepresentation
bin110100101111111101…
…1010000110000000000
3101211101120112001202121
41221133323100300000
53323443300122240
6124012303454024
711120101351510
oct1513773206000
9354346461677
10113278520320
114404a853a39
1219b548b7314
13a8b37cb464
1456a87ab840
152e2ed5604a
hex1a5fed0c00

113278520320 has 352 divisors, whose sum is σ = 317500508160. Its totient is φ = 37981716480.

The previous prime is 113278520269. The next prime is 113278520351. The reversal of 113278520320 is 23025872311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418001785 + ... + 418002055.

It is an arithmetic number, because the mean of its divisors is an integer number (901990080).

Almost surely, 2113278520320 is an apocalyptic number.

113278520320 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 113278520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158750254080).

113278520320 is an abundant number, since it is smaller than the sum of its proper divisors (204221987840).

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

113278520320 is a wasteful number, since it uses less digits than its factorization.

113278520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 113278520320 in words is "one hundred thirteen billion, two hundred seventy-eight million, five hundred twenty thousand, three hundred twenty".