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13302113011002 = 2325087314526493
BaseRepresentation
bin1100000110010010001110…
…1110001000010100111010
31202002200002010102122012100
43001210203232020110322
53220420211412323002
644142523434524230
72542021522001004
oct301444356102472
952080063378170
1013302113011002
114269438011482
1215aa056896676
137564cb4ac09a
1433db7ba3d374
151810425cd11c
hexc1923b8853a

13302113011002 has 24 divisors (see below), whose sum is σ = 28821813374484. Its totient is φ = 4433950206144.

The previous prime is 13302113010971. The next prime is 13302113011049. The reversal of 13302113011002 is 20011031120331.

13302113011002 is a `hidden beast` number, since 1 + 330 + 21 + 1 + 301 + 10 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11590409171961 + 1711703839041 = 3404469^2 + 1308321^2 .

It is a super-3 number, since 3×133021130110023 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 6347533 + ... + 8178960.

Almost surely, 213302113011002 is an apocalyptic number.

13302113011002 is an abundant number, since it is smaller than the sum of its proper divisors (15519700363482).

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

13302113011002 is a wasteful number, since it uses less digits than its factorization.

13302113011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14577374 (or 14577371 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13302113011002 its reverse (20011031120331), we get a palindrome (33313144131333).

The spelling of 13302113011002 in words is "thirteen trillion, three hundred two billion, one hundred thirteen million, eleven thousand, two".

Divisors: 1 2 3 6 9 18 50873 101746 152619 305238 457857 915714 14526493 29052986 43579479 87158958 130738437 261476874 739006278389 1478012556778 2217018835167 4434037670334 6651056505501 13302113011002