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13343613132 = 22319137631677
BaseRepresentation
bin11000110110101011…
…10110000011001100
31021102221100210001210
430123111312003030
5204311431110012
610044023534420
7651444561123
oct143325660314
937387323053
1013343613132
115728138053
1227048ba410
13134862ca95
14908252aba
155316c823c
hex31b5760cc

13343613132 has 96 divisors (see below), whose sum is σ = 33114170880. Its totient is φ = 4170216960.

The previous prime is 13343613131. The next prime is 13343613181. The reversal of 13343613132 is 23131634331.

13343613132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133436131322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13343613132.

It is not an unprimeable number, because it can be changed into a prime (13343613131) 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, 19709578 + ... + 19710254.

It is an arithmetic number, because the mean of its divisors is an integer number (344939280).

Almost surely, 213343613132 is an apocalyptic number.

13343613132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13343613132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557085440).

13343613132 is an abundant number, since it is smaller than the sum of its proper divisors (19770557748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13343613132 is a wasteful number, since it uses less digits than its factorization.

13343613132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1469 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The spelling of 13343613132 in words is "thirteen billion, three hundred forty-three million, six hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 631 677 822 1262 1354 1644 1893 2031 2524 2603 2708 3786 4062 5206 7572 7809 8124 10412 11989 12863 15618 23978 25726 31236 35967 38589 47956 51452 71934 77178 86447 92749 143868 154356 172894 185498 259341 278247 345788 370996 427187 518682 556494 854374 1037364 1112988 1281561 1642493 1708748 1762231 2563122 3284986 3524462 4927479 5126244 5286693 6569972 7048924 8116553 9854958 10573386 16233106 19709916 21146772 24349659 32466212 48699318 58524619 97398636 117049238 175573857 234098476 351147714 702295428 1111967761 2223935522 3335903283 4447871044 6671806566 13343613132