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12401332031 = 1129383101503
BaseRepresentation
bin10111000110010110…
…10100111100111111
31012000021021221101202
423203023110330333
5200344220111111
65410323330115
7616213403654
oct134313247477
935007257352
1012401332031
115294257340
1224a122093b
1312283514ba
1485904bc2b
154c8ae8b3b
hex2e32d4f3f

12401332031 has 16 divisors (see below), whose sum is σ = 14031912960. Its totient is φ = 10856653920.

The previous prime is 12401332019. The next prime is 12401332043. The reversal of 12401332031 is 13023310421.

It is an interprime number because it is at equal distance from previous prime (12401332019) and next prime (12401332043).

It is a cyclic number.

It is not a de Polignac number, because 12401332031 - 230 = 11327590207 is a prime.

It is a super-2 number, since 2×124013320312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12401331994 and 12401332012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401332081) 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, 71426 + ... + 172928.

It is an arithmetic number, because the mean of its divisors is an integer number (876994560).

Almost surely, 212401332031 is an apocalyptic number.

12401332031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12401332031 is a deficient number, since it is larger than the sum of its proper divisors (1630580929).

12401332031 is a wasteful number, since it uses less digits than its factorization.

12401332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101926.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12401332031 its reverse (13023310421), we get a palindrome (25424642452).

The spelling of 12401332031 in words is "twelve billion, four hundred one million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 11 29 319 383 4213 11107 101503 122177 1116533 2943587 32379457 38875649 427632139 1127393821 12401332031