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13370511938103 = 32193138361910639
BaseRepresentation
bin1100001010010001000010…
…0111010101001000110111
31202100012121222002010221200
43002210100213111020313
53223030302024004403
644234154533143543
72546662515201435
oct302442047251067
952305558063850
1013370511938103
114295447469801
1215bb36548abb3
1375caac006508
143431c9b61d55
15182be737bca3
hexc29109d5237

13370511938103 has 96 divisors (see below), whose sum is σ = 21075984384000. Its totient is φ = 8136859821120.

The previous prime is 13370511938099. The next prime is 13370511938149. The reversal of 13370511938103 is 30183911507331.

13370511938103 is a `hidden beast` number, since 1 + 3 + 37 + 0 + 511 + 93 + 8 + 10 + 3 = 666.

It is not a de Polignac number, because 13370511938103 - 22 = 13370511938099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13370511938803) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1256739858 + ... + 1256750496.

It is an arithmetic number, because the mean of its divisors is an integer number (219541504000).

Almost surely, 213370511938103 is an apocalyptic number.

13370511938103 is a deficient number, since it is larger than the sum of its proper divisors (7705472445897).

13370511938103 is a wasteful number, since it uses less digits than its factorization.

13370511938103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13370511938103 in words is "thirteen trillion, three hundred seventy billion, five hundred eleven million, nine hundred thirty-eight thousand, one hundred three".

Divisors: 1 3 9 19 31 57 93 171 279 383 589 619 1149 1767 1857 3447 5301 5571 7277 10639 11761 11873 19189 21831 31917 35283 35619 57567 65493 95751 105849 106857 172701 202141 225587 237077 329809 364591 606423 676761 711231 989427 1093773 1819269 2030283 2133693 2968281 3281319 4074737 4504463 6266371 6585541 7349387 12224211 13513389 18799113 19756623 22048161 36672633 40540167 56397339 59269869 66144483 77420003 125125279 126316847 139638353 204151771 232260009 375375837 378950541 418915059 612455313 696780027 1126127511 1136851623 1256745177 1837365939 2400020093 2522262203 3878883649 7200060279 7566786609 11636650947 21600180837 22700359827 34909952841 47922981857 78190128293 143768945571 234570384879 431306836713 703711154637 1485612437567 4456837312701 13370511938103