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12111142431 = 3171922812341
BaseRepresentation
bin10110100011110000…
…10101111000011111
31011021001020210002210
423101320111320133
5144300423024211
65321435451503
7606061004103
oct132170257037
934231223083
1012111142431
115155473623
12241bbb6b93
1311b01a9b8b
1482c6ad903
154ad3c69a6
hex2d1e15e1f

12111142431 has 48 divisors (see below), whose sum is σ = 18117299808. Its totient is φ = 7170508800.

The previous prime is 12111142411. The next prime is 12111142447. The reversal of 12111142431 is 13424111121.

It is not a de Polignac number, because 12111142431 - 29 = 12111141919 is a prime.

It is a super-2 number, since 2×121111424312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12111142398 and 12111142407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111142411) 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 47 ways as a sum of consecutive naturals, for example, 5172321 + ... + 5174661.

It is an arithmetic number, because the mean of its divisors is an integer number (377443746).

Almost surely, 212111142431 is an apocalyptic number.

12111142431 is a deficient number, since it is larger than the sum of its proper divisors (6006157377).

12111142431 is a wasteful number, since it uses less digits than its factorization.

12111142431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2661 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

Adding to 12111142431 its reverse (13424111121), we get a palindrome (25535253552).

The spelling of 12111142431 in words is "twelve billion, one hundred eleven million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 17 19 51 57 281 323 361 843 969 1083 2341 4777 5339 6137 7023 14331 16017 18411 39797 44479 90763 101441 119391 133437 272289 304323 657821 756143 845101 1724497 1973463 2268429 2535303 5173491 11182957 12498599 14366717 33548871 37495797 43100151 212476183 237473381 637428549 712420143 4037047477 12111142431