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13155166431 = 3211132880469
BaseRepresentation
bin11000100000001101…
…11110100011011111
31020221210202200210100
430100012332203133
5203420210311211
610013212512143
7643666032621
oct142006764337
936853680710
1013155166431
115640826280
12267177b653
13131858c364
148cb1dac11
1551eda2156
hex3101be8df

13155166431 has 12 divisors (see below), whose sum is σ = 20729353320. Its totient is φ = 7972828080.

The previous prime is 13155166399. The next prime is 13155166463. The reversal of 13155166431 is 13466155131.

13155166431 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 5 + 1 + 6 + 643 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13155166399) and next prime (13155166463).

It is not a de Polignac number, because 13155166431 - 25 = 13155166399 is a prime.

It is a super-2 number, since 2×131551664312 (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 (13155166471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66440136 + ... + 66440333.

It is an arithmetic number, because the mean of its divisors is an integer number (1727446110).

Almost surely, 213155166431 is an apocalyptic number.

13155166431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13155166431 is a deficient number, since it is larger than the sum of its proper divisors (7574186889).

13155166431 is a wasteful number, since it uses less digits than its factorization.

13155166431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132880486 (or 132880483 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 13155166431 in words is "thirteen billion, one hundred fifty-five million, one hundred sixty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 132880469 398641407 1195924221 1461685159 4385055477 13155166431