Search a number
-
+
13121440431 = 3111912081777
BaseRepresentation
bin11000011100001100…
…10100101010101111
31020212110022020102020
430032012110222233
5203333042043211
610010010001223
7643106255241
oct141606245257
936773266366
1013121440431
115623790450
122662416213
1313115b1448
148c693c091
1551be3e306
hex30e194aaf

13121440431 has 16 divisors (see below), whose sum is σ = 19185666048. Its totient is φ = 7910748800.

The previous prime is 13121440373. The next prime is 13121440433. The reversal of 13121440431 is 13404412131.

13121440431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13121440431 - 210 = 13121439407 is a prime.

It is a super-2 number, since 2×131214404312 (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 (13121440433) 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 15 ways as a sum of consecutive naturals, for example, 1034586 + ... + 1047191.

It is an arithmetic number, because the mean of its divisors is an integer number (1199104128).

Almost surely, 213121440431 is an apocalyptic number.

13121440431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13121440431 is a deficient number, since it is larger than the sum of its proper divisors (6064225617).

13121440431 is a wasteful number, since it uses less digits than its factorization.

13121440431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081982.

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

Adding to 13121440431 its reverse (13404412131), we get a palindrome (26525852562).

The spelling of 13121440431 in words is "thirteen billion, one hundred twenty-one million, four hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 11 33 191 573 2101 6303 2081777 6245331 22899547 68698641 397619407 1192858221 4373813477 13121440431