Search a number
-
+
113345568900 = 223252125939521
BaseRepresentation
bin110100110001111101…
…1000010000010000100
3101211120020200111010100
41221203323002002010
53324112431201100
6124023100524100
711121544303434
oct1514373020204
9354506614110
10113345568900
1144084689593
1219b73250630
13a8c4675785
1456b36622c4
152e35b9c400
hex1a63ec2084

113345568900 has 54 divisors (see below), whose sum is σ = 355275391562. Its totient is φ = 30225484800.

The previous prime is 113345568857. The next prime is 113345568907. The reversal of 113345568900 is 9865543311.

113345568900 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 4 + 556 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8823972096 + 104521596804 = 93936^2 + 323298^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (113345568907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62968861 + ... + 62970660.

Almost surely, 2113345568900 is an apocalyptic number.

113345568900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113345568900 is an abundant number, since it is smaller than the sum of its proper divisors (241929822662).

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

113345568900 is a wasteful number, since it uses less digits than its factorization.

113345568900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125939541 (or 125939531 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 113345568900 in words is "one hundred thirteen billion, three hundred forty-five million, five hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 125939521 251879042 377818563 503758084 629697605 755637126 1133455689 1259395210 1511274252 1889092815 2266911378 2518790420 3148488025 3778185630 4533822756 5667278445 6296976050 7556371260 9445464075 11334556890 12593952100 18890928150 22669113780 28336392225 37781856300 56672784450 113345568900