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13114411431 = 3118315730497
BaseRepresentation
bin11000011011010111…
…00000100110100111
31020211222002010102220
430031223200212213
5203324242131211
610005155203423
7642662441442
oct141553404647
936758063386
1013114411431
11561a81a460
12265bba6573
13130ccbcc84
148c5a2c659
1551b501806
hex30dae09a7

13114411431 has 32 divisors (see below), whose sum is σ = 19428933888. Its totient is φ = 7802096640.

The previous prime is 13114411391. The next prime is 13114411433. The reversal of 13114411431 is 13411441131.

13114411431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13114411431 - 29 = 13114410919 is a prime.

It is a super-2 number, since 2×131144114312 (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 (13114411433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414775 + ... + 445271.

It is an arithmetic number, because the mean of its divisors is an integer number (607154184).

Almost surely, 213114411431 is an apocalyptic number.

13114411431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13114411431 is a deficient number, since it is larger than the sum of its proper divisors (6314522457).

13114411431 is a wasteful number, since it uses less digits than its factorization.

13114411431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30751.

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

Adding to 13114411431 its reverse (13411441131), we get a palindrome (26525852562).

The spelling of 13114411431 in words is "thirteen billion, one hundred fourteen million, four hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 11 33 83 157 249 471 913 1727 2739 5181 13031 30497 39093 91491 143341 335467 430023 1006401 2531251 4788029 7593753 14364087 27843761 52668319 83531283 158004957 397406407 1192219221 4371470477 13114411431