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13113033444 = 22327411269167
BaseRepresentation
bin11000011011001100…
…10000001011100100
31020211212111010012100
430031212100023210
5203323414032234
610005105452100
7642644642130
oct141546201344
936755433170
1013113033444
115619a69125
12265b641030
13130c9299b4
148c57903c0
1551b32d399
hex30d9902e4

13113033444 has 72 divisors (see below), whose sum is σ = 38806080768. Its totient is φ = 3655198080.

The previous prime is 13113033397. The next prime is 13113033491. The reversal of 13113033444 is 44433031131.

13113033444 is a `hidden beast` number, since 1 + 3 + 11 + 303 + 344 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13113033397) and next prime (13113033491).

It is a super-2 number, since 2×131130334442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624252 + ... + 644915.

It is an arithmetic number, because the mean of its divisors is an integer number (538973344).

Almost surely, 213113033444 is an apocalyptic number.

13113033444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13113033444 is an abundant number, since it is smaller than the sum of its proper divisors (25693047324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13113033444 is a wasteful number, since it uses less digits than its factorization.

13113033444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269225 (or 1269220 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13113033444 its reverse (44433031131), we get a palindrome (57546064575).

The spelling of 13113033444 in words is "thirteen billion, one hundred thirteen million, thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 1269167 2538334 3807501 5076668 7615002 8884169 11422503 15230004 17768338 22845006 26652507 35536676 45690012 52035847 53305014 79957521 104071694 106610028 156107541 159915042 208143388 312215082 319830084 364250929 468322623 624430164 728501858 936645246 1092752787 1457003716 1873290492 2185505574 3278258361 4371011148 6556516722 13113033444