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231411114132 = 223113747381473
BaseRepresentation
bin1101011110000100101…
…1010110000010010100
3211010022102211121112220
43113201023112002110
512242412221123012
6254150411142340
722501404005142
oct3274113260224
9733272747486
10231411114132
118a1605a5160
1238a231449b0
1318a8bb54743
14b2b3ad2592
156045ddb08c
hex35e12d6094

231411114132 has 48 divisors (see below), whose sum is σ = 604966660032. Its totient is φ = 68229319680.

The previous prime is 231411114127. The next prime is 231411114149.

231411114132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2314111141322 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23685853 + ... + 23695620.

It is an arithmetic number, because the mean of its divisors is an integer number (12603472084).

Almost surely, 2231411114132 is an apocalyptic number.

231411114132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231411114132 is an abundant number, since it is smaller than the sum of its proper divisors (373555545900).

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

231411114132 is a wasteful number, since it uses less digits than its factorization.

231411114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47381528 (or 47381526 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 231411 and 114132, that added together give a palindrome (345543).

The spelling of 231411114132 in words is "two hundred thirty-one billion, four hundred eleven million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 47381473 94762946 142144419 189525892 284288838 521196203 568577676 1042392406 1563588609 1753114501 2084784812 3127177218 3506229002 5259343503 6254354436 7012458004 10518687006 19284259511 21037374012 38568519022 57852778533 77137038044 115705557066 231411114132