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12431322431031 = 3719312366342473
BaseRepresentation
bin1011010011100110010010…
…0011101011111000110111
31122000102102020022211111110
42310321210203223320313
53112133322020243111
642234512022410103
72422063521125310
oct264714443537067
948012366284443
1012431322431031
113a63104479239
121489334890933
136c2365382a8a
1430d971aa9607
151685795b45a6
hexb4e648ebe37

12431322431031 has 64 divisors (see below), whose sum is σ = 20584544993280. Its totient is φ = 6512221566720.

The previous prime is 12431322431027. The next prime is 12431322431041. The reversal of 12431322431031 is 13013422313421.

It is not a de Polignac number, because 12431322431031 - 22 = 12431322431027 is a prime.

It is a super-2 number, since 2×124313224310312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12431322431031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431322431041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292666411 + ... + 292708883.

It is an arithmetic number, because the mean of its divisors is an integer number (321633515520).

Almost surely, 212431322431031 is an apocalyptic number.

12431322431031 is a deficient number, since it is larger than the sum of its proper divisors (8153222562249).

12431322431031 is a wasteful number, since it uses less digits than its factorization.

12431322431031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66196.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 12431322431031 its reverse (13013422313421), we get a palindrome (25444744744452).

The spelling of 12431322431031 in words is "twelve trillion, four hundred thirty-one billion, three hundred twenty-two million, four hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 19 21 31 57 93 133 217 399 589 651 1767 4123 12369 23663 42473 70989 127419 165641 297311 449597 496923 733553 806987 891933 1316663 1348791 2200659 2420961 3147179 3949989 5134871 5648909 9216641 9441537 13937507 15404613 16946727 25016597 27649923 41812521 75049791 97562549 175116179 292687647 525348537 1005038599 3015115797 7035270193 19095733381 21105810579 31156196569 57287200143 93468589707 133670133667 218093375983 401010401001 591967734811 654280127949 1775903204433 4143774143677 12431322431031