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12413342013 = 3177173151311
BaseRepresentation
bin10111000111110010…
…01001000100111101
31012001002220002222220
423203321021010331
5200410303421023
65411432555553
7616420444332
oct134371110475
935032802886
1012413342013
1152a000a646
1224a5252bb9
13122a997bb7
1485a896989
154c9bbc3e3
hex2e3e4913d

12413342013 has 64 divisors (see below), whose sum is σ = 18192605184. Its totient is φ = 7499520000.

The previous prime is 12413342003. The next prime is 12413342021. The reversal of 12413342013 is 31024331421.

It is a happy number.

It is not a de Polignac number, because 12413342013 - 218 = 12413079869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413342003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39914128 + ... + 39914438.

It is an arithmetic number, because the mean of its divisors is an integer number (284259456).

Almost surely, 212413342013 is an apocalyptic number.

It is an amenable number.

12413342013 is a deficient number, since it is larger than the sum of its proper divisors (5779263171).

12413342013 is a wasteful number, since it uses less digits than its factorization.

12413342013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12413342013 its reverse (31024331421), we get a palindrome (43437673434).

The spelling of 12413342013 in words is "twelve billion, four hundred thirteen million, three hundred forty-two thousand, thirteen".

Divisors: 1 3 17 51 71 73 151 213 219 311 453 933 1207 1241 2567 3621 3723 5183 5287 7701 10721 11023 15549 15861 22081 22703 32163 33069 46961 66243 68109 88111 140883 182257 187391 264333 375377 385951 546771 562173 782633 798337 1126131 1157853 1611913 2347899 2395011 3334231 3428153 4835739 10002693 10284459 13304761 27402521 39914283 56681927 58278601 82207563 170045781 174835803 243398863 730196589 4137780671 12413342013