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13310001303193 = 721759947285977
BaseRepresentation
bin1100000110101111100111…
…1001100100111010011001
31202010102102212122101210101
43001223321321210322121
53221032340313200233
644150310304215401
72542421145244300
oct301537171447231
952112385571711
1013310001303193
114271815821121
1215ab69860a561
1375718783c6ba
143402c9549437
15181354daec7d
hexc1af9e64e99

13310001303193 has 48 divisors (see below), whose sum is σ = 16689355784640. Its totient is φ = 10544305744896.

The previous prime is 13310001303143. The next prime is 13310001303211. The reversal of 13310001303193 is 39130310001331.

It is a happy number.

It is not a de Polignac number, because 13310001303193 - 29 = 13310001302681 is a prime.

It is a super-2 number, since 2×133100013031932 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13310001303143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46399221 + ... + 46685197.

It is an arithmetic number, because the mean of its divisors is an integer number (347694912180).

Almost surely, 213310001303193 is an apocalyptic number.

It is an amenable number.

13310001303193 is a deficient number, since it is larger than the sum of its proper divisors (3379354481447).

13310001303193 is a wasteful number, since it uses less digits than its factorization.

13310001303193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287014 (or 287007 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 28.

The spelling of 13310001303193 in words is "thirteen trillion, three hundred ten billion, one million, three hundred three thousand, one hundred ninety-three".

Divisors: 1 7 17 49 59 119 413 833 947 1003 2891 6629 7021 16099 46403 49147 55873 112693 285977 391111 788851 949841 2001839 2737777 4861609 6648887 14012873 16872643 34031263 46542209 118108501 238218841 270820219 286834931 826759507 1895741533 2007844517 4603943723 13270190731 14054911619 15978392921 32227606061 111848750447 225593242427 271632679657 782941253129 1901428757599 13310001303193