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231234432132 = 223112960406069
BaseRepresentation
bin1101011101011010100…
…1010110110010000100
3211002212010101020102010
43113112221112302010
512242032003312012
6254121100214220
722464130146234
oct3272651266204
9732763336363
10231234432132
118a07a899380
1238993b3a370
1318a61372b92
14b29845dcc4
15603563ac3c
hex35d6a56c84

231234432132 has 48 divisors (see below), whose sum is σ = 608893185600. Its totient is φ = 67654796160.

The previous prime is 231234432097. The next prime is 231234432193.

It is a happy number.

231234432132 is nontrivially palindromic in base 10.

231234432132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 231234432132.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30199207 + ... + 30206862.

It is an arithmetic number, because the mean of its divisors is an integer number (12685274700).

Almost surely, 2231234432132 is an apocalyptic number.

231234432132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231234432132 is an abundant number, since it is smaller than the sum of its proper divisors (377658753468).

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

231234432132 is a wasteful number, since it uses less digits than its factorization.

231234432132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60406116 (or 60406114 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 231234 and 432132, that added together give a palindrome (663366).

The spelling of 231234432132 in words is "two hundred thirty-one billion, two hundred thirty-four million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 60406069 120812138 181218207 241624276 362436414 664466759 724872828 1328933518 1751776001 1993400277 2657867036 3503552002 3986800554 5255328003 7007104004 7973601108 10510656006 19269536011 21021312012 38539072022 57808608033 77078144044 115617216066 231234432132