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13343431122 = 23273122315319
BaseRepresentation
bin11000110110101010…
…01001100111010010
31021102221000112101200
430123111021213102
5204311404243442
610044020012030
7651443202360
oct143325114722
937387015350
1013343431122
11572802332a
122704831016
131348597c98
14908206630
1553168e34c
hex31b5499d2

13343431122 has 96 divisors (see below), whose sum is σ = 34261893120. Its totient is φ = 3672643680.

The previous prime is 13343431081. The next prime is 13343431133. The reversal of 13343431122 is 22113434331.

It is a happy number.

13343431122 is a `hidden beast` number, since 1 + 3 + 343 + 4 + 311 + 2 + 2 = 666.

13343431122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 863379 + ... + 878697.

It is an arithmetic number, because the mean of its divisors is an integer number (356894720).

Almost surely, 213343431122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13343431122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130946560).

13343431122 is an abundant number, since it is smaller than the sum of its proper divisors (20918461998).

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

13343431122 is a wasteful number, since it uses less digits than its factorization.

13343431122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588 (or 15585 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13343431122 its reverse (22113434331), we get a palindrome (35456865453).

The spelling of 13343431122 in words is "thirteen billion, three hundred forty-three million, four hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 223 279 434 446 558 651 669 1302 1338 1561 1953 2007 3122 3906 4014 4683 6913 9366 13826 14049 15319 20739 28098 30638 41478 45957 48391 62217 91914 96782 107233 124434 137871 145173 214466 275742 290346 321699 435519 474889 643398 871038 949778 965097 1424667 1930194 2849334 3324223 3416137 4274001 6648446 6832274 8548002 9972669 10248411 19945338 20496822 23912959 29918007 30745233 47825918 59836014 61490466 71738877 105900247 143477754 211800494 215216631 317700741 430433262 635401482 741301729 953102223 1482603458 1906204446 2223905187 4447810374 6671715561 13343431122