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13212143113 = 1317374139409
BaseRepresentation
bin11000100111000000…
…10100111000001001
31021002202222102002211
430103200110320021
5204024302034423
610023010025121
7645260235451
oct142340247011
937082872084
1013212143113
11566aa01744
1226888781a1
13132731b180
148d49ccd61
15524da910d
hex313814e09

13212143113 has 32 divisors (see below), whose sum is σ = 15850386720. Its totient is φ = 10895523840.

The previous prime is 13212143033. The next prime is 13212143129. The reversal of 13212143113 is 31134121231.

It can be written as a sum of positive squares in 16 ways, for example, as 2744397769 + 10467745344 = 52387^2 + 102312^2 .

It is a cyclic number.

It is not a de Polignac number, because 13212143113 - 213 = 13212134921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13212149113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315553 + ... + 354961.

It is an arithmetic number, because the mean of its divisors is an integer number (495324585).

Almost surely, 213212143113 is an apocalyptic number.

13212143113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13212143113 is a deficient number, since it is larger than the sum of its proper divisors (2638243607).

13212143113 is a wasteful number, since it uses less digits than its factorization.

13212143113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39517.

The product of its digits is 432, while the sum is 22.

Adding to 13212143113 its reverse (31134121231), we get a palindrome (44346264344).

The spelling of 13212143113 in words is "thirteen billion, two hundred twelve million, one hundred forty-three thousand, one hundred thirteen".

Divisors: 1 13 17 37 41 221 481 533 629 697 1517 8177 9061 19721 25789 39409 335257 512317 669953 1458133 1615769 8709389 18955729 21004997 24788261 27468073 59783453 322247393 357084949 777184889 1016318701 13212143113