Search a number
-
+
232331112121230 = 23553131697180001
BaseRepresentation
bin110100110100110111001101…
…011010001000001110001110
31010110121122012200001012200000
4310310313031122020032032
5220423003104200334410
62142043234531345130
766636240354062313
oct6464671532101616
91113548180035600
10232331112121230
1168034086a29671
12220833ab4521a6
139c8396468c085
144152c589c2d0a
151bcd6eaaaadc0
hexd34dcd68838e

232331112121230 has 192 divisors, whose sum is σ = 628808716605888. Its totient is φ = 61720289280000.

The previous prime is 232331112121211. The next prime is 232331112121243. The reversal of 232331112121230 is 32121211133232.

232331112121230 is a `hidden beast` number, since 2 + 3 + 2 + 331 + 112 + 1 + 212 + 3 + 0 = 666.

232331112121230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232331112121194 and 232331112121203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1290631230 + ... + 1290811230.

It is an arithmetic number, because the mean of its divisors is an integer number (3275045398989).

Almost surely, 2232331112121230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232331112121230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314404358302944).

232331112121230 is an abundant number, since it is smaller than the sum of its proper divisors (396477604484658).

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

232331112121230 is a wasteful number, since it uses less digits than its factorization.

232331112121230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182033 (or 182021 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 232331112121230 its reverse (32121211133232), we get a palindrome (264452323254462).

The spelling of 232331112121230 in words is "two hundred thirty-two trillion, three hundred thirty-one billion, one hundred twelve million, one hundred twenty-one thousand, two hundred thirty".