Search a number
-
+
23013530100 = 223252113762827
BaseRepresentation
bin10101011011101101…
…101001100111110100
32012101212000110101200
4111123231221213310
5334112430430400
614323335452500
71443203530641
oct253355514764
965355013350
1023013530100
11983a5a0870
124563227130
132229b18742
141184610dc8
158ea5d3b00
hex55bb699f4

23013530100 has 216 divisors, whose sum is σ = 80820431328. Its totient is φ = 5428166400.

The previous prime is 23013530083. The next prime is 23013530129. The reversal of 23013530100 is 103531032.

23013530100 is a `hidden beast` number, since 2 + 30 + 1 + 3 + 530 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334887 + ... + 397713.

Almost surely, 223013530100 is an apocalyptic number.

23013530100 is a gapful number since it is divisible by the number (20) 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 23013530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40410215664).

23013530100 is an abundant number, since it is smaller than the sum of its proper divisors (57806901228).

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

23013530100 is a wasteful number, since it uses less digits than its factorization.

23013530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62895 (or 62885 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The spelling of 23013530100 in words is "twenty-three billion, thirteen million, five hundred thirty thousand, one hundred".