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13030033401 = 32721117158003
BaseRepresentation
bin11000010001010011…
…01000011111111001
31020122002022021112200
430020221220133321
5203141142032101
65552542500413
7640616312400
oct141051503771
936562267480
1013030033401
115587128a50
122637894709
1312c8688c48
148b8746637
15513dd5986
hex308a687f9

13030033401 has 72 divisors (see below), whose sum is σ = 25289488224. Its totient is φ = 6370640640.

The previous prime is 13030033363. The next prime is 13030033403. The reversal of 13030033401 is 10433003031.

13030033401 is a `hidden beast` number, since 1 + 30 + 300 + 334 + 0 + 1 = 666.

13030033401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13030033401 - 29 = 13030032889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13030033403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3466 + ... + 161468.

It is an arithmetic number, because the mean of its divisors is an integer number (351242892).

Almost surely, 213030033401 is an apocalyptic number.

13030033401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13030033401 is a deficient number, since it is larger than the sum of its proper divisors (12259454823).

13030033401 is a wasteful number, since it uses less digits than its factorization.

13030033401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158051 (or 158041 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13030033401 its reverse (10433003031), we get a palindrome (23463036432).

The spelling of 13030033401 in words is "thirteen billion, thirty million, thirty-three thousand, four hundred one".

Divisors: 1 3 7 9 11 17 21 33 49 51 63 77 99 119 147 153 187 231 357 441 539 561 693 833 1071 1309 1617 1683 2499 3927 4851 7497 9163 11781 27489 82467 158003 474009 1106021 1422027 1738033 2686051 3318063 5214099 7742147 8058153 9954189 12166231 15642297 18802357 23226441 24174459 29546561 36498693 56407071 69679323 85163617 88639683 109496079 131616499 169221213 206825927 255490851 265919049 394849497 620477781 766472553 1184548491 1447781489 1861433343 4343344467 13030033401