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231324423132 = 223112374305793
BaseRepresentation
bin1101011101110000000…
…0101001001111011100
3211010002101201020212010
43113130000221033130
512242223023020012
6254134033111220
722466302103535
oct3273400511734
9733071636763
10231324423132
118a116673a00
12389ba0b8510
1318a76bc09aa
14b2a63a768c
15603d4b4c3c
hex35dc0293dc

231324423132 has 72 divisors (see below), whose sum is σ = 609321520528. Its totient is φ = 68203745280.

The previous prime is 231324423131. The next prime is 231324423167.

It is a happy number.

231324423132 is nontrivially palindromic in base 10.

231324423132 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 231324423132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231324423131) 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 23 ways as a sum of consecutive naturals, for example, 2099173 + ... + 2206620.

Almost surely, 2231324423132 is an apocalyptic number.

231324423132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231324423132 is an abundant number, since it is smaller than the sum of its proper divisors (377997097396).

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

231324423132 is a wasteful number, since it uses less digits than its factorization.

231324423132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305859 (or 4305846 counting only the distinct ones).

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

It can be divided in two parts, 231324 and 423132, that added together give a palindrome (654456).

The spelling of 231324423132 in words is "two hundred thirty-one billion, three hundred twenty-four million, four hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 8954 13431 17908 26862 53724 4305793 8611586 12917379 17223172 25834758 47363723 51669516 94727446 142091169 159314341 189454892 284182338 318628682 477943023 521000953 568364676 637257364 955886046 1042001906 1563002859 1752457751 1911772092 2084003812 3126005718 3504915502 5257373253 6252011436 7009831004 10514746506 19277035261 21029493012 38554070522 57831105783 77108141044 115662211566 231324423132