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113413041000 = 2334537200023
BaseRepresentation
bin110100110011111110…
…0011010101101101000
3101211201221122102110000
41221213330122231220
53324232214303000
6124033511023000
711123323641210
oct1514774325550
9354657572400
10113413041000
1144109783356
1219b9196aa60
13a90563a7ac
1456bc5c7240
152e3ba79000
hex1a67f1ab68

113413041000 has 320 divisors, whose sum is σ = 453078362880. Its totient is φ = 25922851200.

The previous prime is 113413040989. The next prime is 113413041013. The reversal of 113413041000 is 140314311.

113413041000 is a `hidden beast` number, since 11 + 341 + 304 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 466989 + ... + 667011.

It is an arithmetic number, because the mean of its divisors is an integer number (1415869884).

Almost surely, 2113413041000 is an apocalyptic number.

113413041000 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 113413041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226539181440).

113413041000 is an abundant number, since it is smaller than the sum of its proper divisors (339665321880).

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

113413041000 is a wasteful number, since it uses less digits than its factorization.

113413041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200063 (or 200040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113413041000 its reverse (140314311), we get a palindrome (113553355311).

The spelling of 113413041000 in words is "one hundred thirteen billion, four hundred thirteen million, forty-one thousand".