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13003263045 = 3351396011153
BaseRepresentation
bin11000001110000111…
…00000110001000101
31020120012221012112000
430013003200301011
5203112313404140
65550145015513
7640142624613
oct140703406105
936505835460
1013003263045
115573003a93
12262a924599
1312c2c74cb6
148b4d786b3
15511898a30
hex3070e0c45

13003263045 has 64 divisors (see below), whose sum is σ = 23342188800. Its totient is φ = 6867763200.

The previous prime is 13003263023. The next prime is 13003263047. The reversal of 13003263045 is 54036230031.

It is a happy number.

13003263045 is a `hidden beast` number, since 1 + 30 + 0 + 326 + 304 + 5 = 666.

It is not a de Polignac number, because 13003263045 - 26 = 13003262981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003263047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11277189 + ... + 11278341.

It is an arithmetic number, because the mean of its divisors is an integer number (364721700).

Almost surely, 213003263045 is an apocalyptic number.

13003263045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13003263045 is a deficient number, since it is larger than the sum of its proper divisors (10338925755).

13003263045 is a wasteful number, since it uses less digits than its factorization.

13003263045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13003263045 its reverse (54036230031), we get a palindrome (67039493076).

The spelling of 13003263045 in words is "thirteen billion, three million, two hundred sixty-three thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 135 139 417 601 695 1153 1251 1803 2085 3005 3459 3753 5409 5765 6255 9015 10377 16227 17295 18765 27045 31131 51885 81135 83539 155655 160267 250617 417695 480801 692953 751851 801335 1253085 1442403 2078859 2255553 2404005 3464765 3759255 4327209 6236577 7212015 10394295 11277765 18709731 21636045 31182885 93548655 96320467 288961401 481602335 866884203 1444807005 2600652609 4334421015 13003263045