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13213451003412 = 22311592411703709
BaseRepresentation
bin1100000001000111111100…
…0011011010011000010100
31201210012020010012222121110
43000101333003122120110
53212442121424102122
644034101532215020
72532432430241652
oct300217703323024
951705203188543
1013213451003412
11423487a687940
121594a3200a470
1374b03b9378ba
1433976a711dd2
1517daa394890c
hexc047f0da614

13213451003412 has 96 divisors (see below), whose sum is σ = 34218546163200. Its totient is φ = 3934572169600.

The previous prime is 13213451003387. The next prime is 13213451003429. The reversal of 13213451003412 is 21430015431231.

It is a self number, because there is not a number n which added to its sum of digits gives 13213451003412.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18425014 + ... + 19128722.

It is an arithmetic number, because the mean of its divisors is an integer number (356443189200).

Almost surely, 213213451003412 is an apocalyptic number.

13213451003412 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 13213451003412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17109273081600).

13213451003412 is an abundant number, since it is smaller than the sum of its proper divisors (21005095159788).

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

13213451003412 is a wasteful number, since it uses less digits than its factorization.

13213451003412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706197 (or 706195 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13213451003412 its reverse (21430015431231), we get a palindrome (34643466434643).

The spelling of 13213451003412 in words is "thirteen trillion, two hundred thirteen billion, four hundred fifty-one million, three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2411 2596 3894 4822 7233 7788 9644 14466 26521 28932 53042 79563 106084 142249 159126 284498 318252 426747 568996 703709 853494 1407418 1564739 1706988 2111127 2814836 3129478 4222254 4694217 6258956 7740799 8444508 9388434 15481598 18776868 23222397 30963196 41518831 46444794 83037662 92889588 124556493 166075324 249112986 456707141 498225972 913414282 1370121423 1696642399 1826828564 2740242846 3393284798 5089927197 5480485692 6786569596 10179854394 18663066389 20359708788 37326132778 55989199167 74652265556 100101901541 111978398334 200203803082 223956796668 300305704623 400407606164 600611409246 1101120916951 1201222818492 2202241833902 3303362750853 4404483667804 6606725501706 13213451003412