Search a number
-
+
113317374460 = 225191095235231
BaseRepresentation
bin110100110001000111…
…1011110100111111100
3101211111021122001121211
41221202033132213330
53324033221440320
6124020212334204
711121052535053
oct1514217364774
9354437561554
10113317374460
114406a7816a4
1219b65914364
13a8bb883584
1456ada0339a
152e3347d55a
hex1a623de9fc

113317374460 has 96 divisors (see below), whose sum is σ = 253320883200. Its totient is φ = 42457893120.

The previous prime is 113317374427. The next prime is 113317374463. The reversal of 113317374460 is 64473713311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113317374463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21660045 + ... + 21665275.

It is an arithmetic number, because the mean of its divisors is an integer number (2638759200).

Almost surely, 2113317374460 is an apocalyptic number.

113317374460 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 113317374460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126660441600).

113317374460 is an abundant number, since it is smaller than the sum of its proper divisors (140003508740).

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

113317374460 is a wasteful number, since it uses less digits than its factorization.

113317374460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 113317374460 in words is "one hundred thirteen billion, three hundred seventeen million, three hundred seventy-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 523 545 1046 1090 2071 2092 2180 2615 4142 5230 5231 8284 9937 10355 10460 10462 19874 20710 20924 26155 39748 41420 49685 52310 57007 99370 99389 104620 114014 198740 198778 228028 285035 397556 496945 570070 570179 993890 1083133 1140140 1140358 1987780 2166266 2280716 2735813 2850895 4332532 5415665 5471626 5701790 10831330 10833401 10943252 11403580 13679065 21662660 21666802 27358130 43333604 51980447 54167005 54716260 103960894 108334010 207921788 216668020 259902235 298203617 519804470 596407234 1039608940 1192814468 1491018085 2982036170 5665868723 5964072340 11331737446 22663474892 28329343615 56658687230 113317374460