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12155013431 = 1119448312973
BaseRepresentation
bin10110101000111111…
…01100100100110111
31011101002210122210122
423110133230210313
5144343140412211
65330044042155
7610132623641
oct132437544467
934332718718
1012155013431
115178208550
12243283335b
1311b92ca652
1483444d891
154b21906db
hex2d47ec937

12155013431 has 16 divisors (see below), whose sum is σ = 13962099840. Its totient is φ = 10465290720.

The previous prime is 12155013427. The next prime is 12155013461. The reversal of 12155013431 is 13431055121.

It is a cyclic number.

It is not a de Polignac number, because 12155013431 - 22 = 12155013427 is a prime.

It is a super-2 number, since 2×121550134312 (a number of 21 digits) contains 22 as substring.

12155013431 is a modest number, since divided by 13431 gives 12155 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 12155013431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12155013421) 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, 930461 + ... + 943433.

It is an arithmetic number, because the mean of its divisors is an integer number (872631240).

Almost surely, 212155013431 is an apocalyptic number.

12155013431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12155013431 is a deficient number, since it is larger than the sum of its proper divisors (1807086409).

12155013431 is a wasteful number, since it uses less digits than its factorization.

12155013431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17486.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 12155013431 its reverse (13431055121), we get a palindrome (25586068552).

The spelling of 12155013431 in words is "twelve billion, one hundred fifty-five million, thirteen thousand, four hundred thirty-one".

Divisors: 1 11 19 209 4483 12973 49313 85177 142703 246487 936947 2711357 58157959 639737549 1105001221 12155013431