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231323211312 = 2436179003829
BaseRepresentation
bin1101011101101111110…
…0000001011000110000
3211010002022102200112220
43113123330001120300
512242222220230222
6254133551121040
722466255565534
oct3273374013060
9733068380486
10231323211312
118a115a164a6
12389b9813180
1318a7688823b
14b2a616dbc4
15603d325b5c
hex35dbf01630

231323211312 has 40 divisors (see below), whose sum is σ = 607381445040. Its totient is φ = 75843674880.

The previous prime is 231323211293. The next prime is 231323211323. The reversal of 231323211312 is 213112323132.

231323211312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313232113122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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 7 ways as a sum of consecutive naturals, for example, 39498987 + ... + 39504842.

It is an arithmetic number, because the mean of its divisors is an integer number (15184536126).

Almost surely, 2231323211312 is an apocalyptic number.

It is an amenable number.

231323211312 is an abundant number, since it is smaller than the sum of its proper divisors (376058233728).

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

231323211312 is a wasteful number, since it uses less digits than its factorization.

231323211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79003901 (or 79003895 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 231323211312 its reverse (213112323132), we get a palindrome (444435534444).

The spelling of 231323211312 in words is "two hundred thirty-one billion, three hundred twenty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 79003829 158007658 237011487 316015316 474022974 632030632 948045948 1264061264 1896091896 3792183792 4819233569 9638467138 14457700707 19276934276 28915401414 38553868552 57830802828 77107737104 115661605656 231323211312