Search a number
-
+
230113100110032 = 24324099389853047
BaseRepresentation
bin110100010100100101100001…
…100101110001100011010000
31010011202121010121010200220200
4310110211201211301203100
5220130133112112010112
62133224255424335200
766320060065051116
oct6424454145614320
91104677117120820
10230113100110032
1167359465a81017
1221985563774500
139b52759261159
1440b7767bb9ab6
151b90b831cbcdc
hexd149619718d0

230113100110032 has 60 divisors (see below), whose sum is σ = 644154191210400. Its totient is φ = 76685653560384.

The previous prime is 230113100110031. The next prime is 230113100110051. The reversal of 230113100110032 is 230011001311032.

230113100110032 is a `hidden beast` number, since 230 + 11 + 310 + 0 + 110 + 0 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 230113100109987 and 230113100110014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230113100110031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194336268 + ... + 195516779.

It is an arithmetic number, because the mean of its divisors is an integer number (10735903186840).

Almost surely, 2230113100110032 is an apocalyptic number.

It is an amenable number.

230113100110032 is an abundant number, since it is smaller than the sum of its proper divisors (414041091100368).

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

230113100110032 is a wasteful number, since it uses less digits than its factorization.

230113100110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389857160 (or 389857151 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 230113100110032 its reverse (230011001311032), we get a palindrome (460124101421064).

The spelling of 230113100110032 in words is "two hundred thirty trillion, one hundred thirteen billion, one hundred million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4099 8198 12297 16396 24594 32792 36891 49188 65584 73782 98376 147564 196752 295128 590256 389853047 779706094 1169559141 1559412188 2339118282 3118824376 3508677423 4678236564 6237648752 7017354846 9356473128 14034709692 18712946256 28069419384 56138838768 1598007639653 3196015279306 4794022918959 6392030558612 9588045837918 12784061117224 14382068756877 19176091675836 25568122234448 28764137513754 38352183351672 57528275027508 76704366703344 115056550055016 230113100110032