Search a number
-
+
113457505300 = 225217563118543
BaseRepresentation
bin110100110101010011…
…0000010010000010100
3101211212001022102222221
41221222212002100110
53324330110132200
6124042140032124
711124403611556
oct1515246022024
9354761272887
10113457505300
1144131893007
1219ba4832644
13a911908329
1456c447d4d6
152e4090d91a
hex1a6a982414

113457505300 has 72 divisors (see below), whose sum is σ = 261150535296. Its totient is φ = 42637186560.

The previous prime is 113457505279. The next prime is 113457505303. The reversal of 113457505300 is 3505754311.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113457505303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897829 + ... + 1016371.

It is an arithmetic number, because the mean of its divisors is an integer number (3627090768).

Almost surely, 2113457505300 is an apocalyptic number.

113457505300 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 113457505300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130575267648).

113457505300 is an abundant number, since it is smaller than the sum of its proper divisors (147693029996).

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

113457505300 is a wasteful number, since it uses less digits than its factorization.

113457505300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119137 (or 119130 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The spelling of 113457505300 in words is "one hundred thirteen billion, four hundred fifty-seven million, five hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 563 850 1126 1700 2252 2815 5630 9571 11260 14075 19142 28150 38284 47855 56300 95710 118543 191420 237086 239275 474172 478550 592715 957100 1185430 2015231 2370860 2963575 4030462 5927150 8060924 10076155 11854300 20152310 40304620 50380775 66739709 100761550 133479418 201523100 266958836 333698545 667397090 1134575053 1334794180 1668492725 2269150106 3336985450 4538300212 5672875265 6673970900 11345750530 22691501060 28364376325 56728752650 113457505300