Search a number
-
+
13104331443225 = 32521119926606429
BaseRepresentation
bin1011111010110001011100…
…0001010100110000011001
31201101202120101111222121100
42332230113001110300121
53204200132322140400
643512014033302013
72521520356262301
oct276542701246031
951352511458540
1013104331443225
1141a257451a240
12157785a104909
1374096b9761c9
14334378436601
1517ad18cb7100
hexbeb17054c19

13104331443225 has 72 divisors (see below), whose sum is σ = 25733739096000. Its totient is φ = 6321687292800.

The previous prime is 13104331443197. The next prime is 13104331443257. The reversal of 13104331443225 is 52234413340131.

13104331443225 is a `hidden beast` number, since 1 + 3 + 10 + 4 + 3 + 314 + 4 + 322 + 5 = 666.

It is not a de Polignac number, because 13104331443225 - 27 = 13104331443097 is a prime.

It is a super-2 number, since 2×131043314432252 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13104331443225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12810690 + ... + 13795739.

It is an arithmetic number, because the mean of its divisors is an integer number (357413043000).

Almost surely, 213104331443225 is an apocalyptic number.

13104331443225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13104331443225 is a deficient number, since it is larger than the sum of its proper divisors (12629407652775).

13104331443225 is a wasteful number, since it uses less digits than its factorization.

13104331443225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26606655 (or 26606647 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13104331443225 its reverse (52234413340131), we get a palindrome (65338744783356).

The spelling of 13104331443225 in words is "thirteen trillion, one hundred four billion, three hundred thirty-one million, four hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 199 225 275 495 597 825 995 1791 2189 2475 2985 4975 6567 8955 10945 14925 19701 32835 44775 54725 98505 164175 492525 26606429 79819287 133032145 239457861 292670719 399096435 665160725 878012157 1197289305 1463353595 1995482175 2634036471 4390060785 5294679371 5986446525 7316767975 13170182355 15884038113 21950303925 26473396855 47652114339 58241473081 65850911775 79420190565 132366984275 174724419243 238260571695 291207365405 397100952825 524173257729 873622096215 1191302858475 1456036827025 2620866288645 4368110481075 13104331443225