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12444120031 = 72383931237
BaseRepresentation
bin10111001011011101…
…00011001111011111
31012010020210210111111
423211232203033133
5200441143320111
65414452402451
7620243163220
oct134556431737
935106723444
1012444120031
115306421622
1224b3616427
131234183045
148609c9247
154cc74ba21
hex2e5ba33df

12444120031 has 16 divisors (see below), whose sum is σ = 15019006464. Its totient is φ = 10079698464.

The previous prime is 12444119957. The next prime is 12444120047. The reversal of 12444120031 is 13002144421.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12444120031 - 225 = 12410565599 is a prime.

It is a super-2 number, since 2×124441200312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12444119984 and 12444120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444120061) 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, 452256 + ... + 478981.

It is an arithmetic number, because the mean of its divisors is an integer number (938687904).

Almost surely, 212444120031 is an apocalyptic number.

12444120031 is a deficient number, since it is larger than the sum of its proper divisors (2574886433).

12444120031 is an equidigital number, since it uses as much as digits as its factorization.

12444120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931350.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12444120031 its reverse (13002144421), we get a palindrome (25446264452).

The spelling of 12444120031 in words is "twelve billion, four hundred forty-four million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 23 83 161 581 1909 13363 931237 6518659 21418451 77292671 149929157 541048697 1777731433 12444120031