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12031022432 = 2511136134289
BaseRepresentation
bin10110011010001101…
…01101010101100000
31011001110111021010102
423031012231111200
5144114420204212
65305454321532
7604066001102
oct131506552540
934043437112
1012031022432
115114220250
1223b91b92a8
131199706cb0
14821bb5572
154a634c5c2
hex2cd1ad560

12031022432 has 96 divisors (see below), whose sum is σ = 27878891040. Its totient is φ = 5038571520.

The previous prime is 12031022431. The next prime is 12031022467. The reversal of 12031022432 is 23422013021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031022431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2802944 + ... + 2807232.

It is an arithmetic number, because the mean of its divisors is an integer number (290405115).

Almost surely, 212031022432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939445520).

12031022432 is an abundant number, since it is smaller than the sum of its proper divisors (15847868608).

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

12031022432 is a wasteful number, since it uses less digits than its factorization.

12031022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12031022432 its reverse (23422013021), we get a palindrome (35453035453).

The spelling of 12031022432 in words is "twelve billion, thirty-one million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 613 1144 1226 2288 2452 4289 4576 4904 6743 7969 8578 9808 13486 15938 17156 19616 26972 31876 34312 47179 53944 55757 63752 68624 87659 94358 107888 111514 127504 137248 175318 188716 215776 223028 255008 350636 377432 446056 613327 701272 754864 892112 1226654 1402544 1509728 1784224 2453308 2629157 2805088 4906616 5258314 9813232 10516628 19626464 21033256 28920727 34179041 42066512 57841454 68358082 84133024 115682908 136716164 231365816 273432328 375969451 462731632 546864656 751938902 925463264 1093729312 1503877804 3007755608 6015511216 12031022432