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12444131031 = 341129178367
BaseRepresentation
bin10111001011011101…
…00101111011010111
31012010020211100120220
423211232211323113
5200441144143111
65414452525423
7620243240253
oct134556457327
935106740526
1012444131031
115306429912
1224b3620873
131234188057
148609cd263
154cc74ee06
hex2e5ba5ed7

12444131031 has 16 divisors (see below), whose sum is σ = 17010244608. Its totient is φ = 8087371200.

The previous prime is 12444131027. The next prime is 12444131039. The reversal of 12444131031 is 13013144421.

It is not a de Polignac number, because 12444131031 - 22 = 12444131027 is a prime.

It is a super-2 number, since 2×124441310312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12444130992 and 12444131010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444131039) 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, 119610 + ... + 197976.

It is an arithmetic number, because the mean of its divisors is an integer number (1063140288).

Almost surely, 212444131031 is an apocalyptic number.

12444131031 is a deficient number, since it is larger than the sum of its proper divisors (4566113577).

12444131031 is a wasteful number, since it uses less digits than its factorization.

12444131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79702.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12444131031 its reverse (13013144421), we get a palindrome (25457275452).

The spelling of 12444131031 in words is "twelve billion, four hundred forty-four million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 41 123 1291 3873 52931 78367 158793 235101 3213047 9639141 101171797 303515391 4148043677 12444131031