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12292341831 = 3272117333457
BaseRepresentation
bin10110111001010111…
…00100000001000111
31011201200012122221200
423130223210001013
5200133314414311
65351431313543
7613421116200
oct133453440107
934650178850
1012292341831
1152387853a0
12247081b8b3
13120b8b0963
1484879a5a7
154be26a556
hex2dcae4047

12292341831 has 72 divisors (see below), whose sum is σ = 22569425424. Its totient is φ = 6375075840.

The previous prime is 12292341791. The next prime is 12292341839. The reversal of 12292341831 is 13814329221.

12292341831 is a `hidden beast` number, since 122 + 92 + 3 + 418 + 31 = 666.

It is not a de Polignac number, because 12292341831 - 26 = 12292341767 is a prime.

It is a super-2 number, since 2×122923418312 (a number of 21 digits) contains 22 as substring.

It is a partition number, being equal to the number of ways a set of 138 identical objects can be partitioned into subset.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12292341839) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3554055 + ... + 3557511.

It is an arithmetic number, because the mean of its divisors is an integer number (313464242).

Almost surely, 212292341831 is an apocalyptic number.

12292341831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12292341831 is a deficient number, since it is larger than the sum of its proper divisors (10277083593).

12292341831 is a wasteful number, since it uses less digits than its factorization.

12292341831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4211 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 12292341831 in words is "twelve billion, two hundred ninety-two million, three hundred forty-one thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 733 1617 2199 3457 4851 5131 6597 8063 10371 15393 24189 24199 31113 35917 38027 46179 56441 72567 72597 107751 114081 169323 169393 217791 266189 323253 342243 395087 507969 508179 798567 1185261 1524537 1863323 2395701 2533981 3555783 5589969 7601943 16769907 17737867 22805829 27873791 53213601 83621373 124165069 159640803 195116537 250864119 372495207 585349611 1117485621 1365815759 1756048833 4097447277 12292341831