Search a number
-
+
230032321331233 = 23374122372947199
BaseRepresentation
bin110100010011011010010010…
…110011001100000000100001
31010011110212121222121120020111
4310103122102303030000201
5220122322143230044413
62133123220051011321
766311200235546311
oct6423322263140041
91104425558546214
10230032321331233
11673281835089a3
122197197ab99b41
139b47c549966a5
1440b38a383b441
151b8da06678d3d
hexd13692ccc021

230032321331233 has 32 divisors (see below), whose sum is σ = 252646810214400. Its totient is φ = 208769132183040.

The previous prime is 230032321331227. The next prime is 230032321331249. The reversal of 230032321331233 is 332133123230032.

It is not a de Polignac number, because 230032321331233 - 225 = 230032287776801 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230032321331195 and 230032321331204.

It is not an unprimeable number, because it can be changed into a prime (230032321331203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76577568 + ... + 79524766.

It is an arithmetic number, because the mean of its divisors is an integer number (7895212819200).

Almost surely, 2230032321331233 is an apocalyptic number.

230032321331233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

230032321331233 is a deficient number, since it is larger than the sum of its proper divisors (22614488883167).

230032321331233 is a wasteful number, since it uses less digits than its factorization.

230032321331233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949537.

The product of its (nonzero) digits is 34992, while the sum is 31.

Adding to 230032321331233 its reverse (332133123230032), we get a palindrome (562165444561265).

The spelling of 230032321331233 in words is "two hundred thirty trillion, thirty-two billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 23 37 41 851 943 1517 2237 34891 51451 82769 91717 1903687 2109491 2947199 3393529 67785577 78051167 109046363 120835159 2508066349 2779208657 4470900883 6592884163 102830720309 151636335749 243936714031 270308250683 5610544422713 6217089765709 10001405275271 230032321331233