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12443312431 = 1129118133029
BaseRepresentation
bin10111001011010110…
…11110000100101111
31012010012021202200101
423211223132010233
5200440441444211
65414423211531
7620233260544
oct134553360457
935105252611
1012443312431
115305a1a890
1224b32a6ba7
131233c5c584
14860858bcb
154cc63c5c1
hex2e5ade12f

12443312431 has 16 divisors (see below), whose sum is σ = 14054925600. Its totient is φ = 10912451200.

The previous prime is 12443312407. The next prime is 12443312449. The reversal of 12443312431 is 13421334421.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12443312431 - 225 = 12409757999 is a prime.

It is a super-2 number, since 2×124433124312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12443312431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443312471) 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, 360225 + ... + 393253.

It is an arithmetic number, because the mean of its divisors is an integer number (878432850).

Almost surely, 212443312431 is an apocalyptic number.

12443312431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12443312431 is a deficient number, since it is larger than the sum of its proper divisors (1611613169).

12443312431 is a wasteful number, since it uses less digits than its factorization.

12443312431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34250.

The product of its digits is 6912, while the sum is 28.

Adding to 12443312431 its reverse (13421334421), we get a palindrome (25864646852).

The spelling of 12443312431 in words is "twelve billion, four hundred forty-three million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 11 29 319 1181 12991 33029 34249 363319 376739 957841 10536251 39007249 429079739 1131210221 12443312431