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13114114431 = 31121913713879
BaseRepresentation
bin11000011011010100…
…11000000101111111
31020211221112001000220
430031222120011333
5203324203130211
610005144552423
7642660063525
oct141552300577
936757461026
1013114114431
11561a637300
12265ba82713
13130cc17a32
148c5992315
1551b493806
hex30da9817f

13114114431 has 48 divisors (see below), whose sum is σ = 20380281600. Its totient is φ = 7474135680.

The previous prime is 13114114399. The next prime is 13114114477. The reversal of 13114114431 is 13441141131.

It is not a de Polignac number, because 13114114431 - 25 = 13114114399 is a prime.

It is a super-2 number, since 2×131141144312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114114231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937950 + ... + 951828.

It is an arithmetic number, because the mean of its divisors is an integer number (424589200).

Almost surely, 213114114431 is an apocalyptic number.

13114114431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13114114431 is a deficient number, since it is larger than the sum of its proper divisors (7266167169).

13114114431 is a wasteful number, since it uses less digits than its factorization.

13114114431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14060 (or 14049 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 13114114431 its reverse (13441141131), we get a palindrome (26555255562).

The spelling of 13114114431 in words is "thirteen billion, one hundred fourteen million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 11 19 33 57 121 137 209 363 411 627 1507 2299 2603 4521 6897 7809 13879 16577 28633 41637 49731 85899 152669 263701 314963 458007 791103 944889 1679359 1901423 2900711 5038077 5704269 8702133 20915653 31907821 36127037 62746959 95723463 108381111 230072183 397397407 690216549 1192192221 4371371477 13114114431