Search a number
-
+
113917340520 = 2335531419221
BaseRepresentation
bin110101000011000000…
…0001010101101101000
3101220001002120111100000
41222012000022231220
53331300314344040
6124155523543000
711141656263204
oct1520600125550
9356032514300
10113917340520
1144348407015
121a0b282aa60
13a985c69889
14572957bb04
152e6ae91130
hex1a8600ab68

113917340520 has 384 divisors, whose sum is σ = 406039495680. Its totient is φ = 28677888000.

The previous prime is 113917340461. The next prime is 113917340539. The reversal of 113917340520 is 25043719311.

113917340520 is a `hidden beast` number, since 1 + 1 + 3 + 91 + 7 + 3 + 40 + 520 = 666.

It is a super-2 number, since 2×1139173405202 (a number of 23 digits) contains 22 as substring.

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

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, 12349510 + ... + 12358730.

It is an arithmetic number, because the mean of its divisors is an integer number (1057394520).

Almost surely, 2113917340520 is an apocalyptic number.

113917340520 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 113917340520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203019747840).

113917340520 is an abundant number, since it is smaller than the sum of its proper divisors (292122155160).

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

113917340520 is a wasteful number, since it uses less digits than its factorization.

113917340520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9319 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 113917340520 in words is "one hundred thirteen billion, nine hundred seventeen million, three hundred forty thousand, five hundred twenty".