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13342322412 = 22321492487383
BaseRepresentation
bin11000110110100001…
…11010111011101100
31021102211221012112100
430123100322323230
5204311113304122
610043540135100
7651430604106
oct143320727354
937384835470
1013342322412
115727436341
122704397490
13134829a443
14907dd8576
15531520aac
hex31b43aeec

13342322412 has 36 divisors (see below), whose sum is σ = 33952791600. Its totient is φ = 4417590432.

The previous prime is 13342322339. The next prime is 13342322429. The reversal of 13342322412 is 21422324331.

13342322412 is a `hidden beast` number, since 1 + 3 + 3 + 423 + 224 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×133423224123 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1238328 + ... + 1249055.

It is an arithmetic number, because the mean of its divisors is an integer number (943133100).

Almost surely, 213342322412 is an apocalyptic number.

13342322412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13342322412 is an abundant number, since it is smaller than the sum of its proper divisors (20610469188).

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

13342322412 is a wasteful number, since it uses less digits than its factorization.

13342322412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487542 (or 2487537 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 13342322412 its reverse (21422324331), we get a palindrome (34764646743).

The spelling of 13342322412 in words is "thirteen billion, three hundred forty-two million, three hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 2487383 4974766 7462149 9949532 14924298 22386447 29848596 44772894 89545788 370620067 741240134 1111860201 1482480268 2223720402 3335580603 4447440804 6671161206 13342322412