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13313331009 = 3211237330413
BaseRepresentation
bin11000110011000100…
…10100111101000001
31021100211101021210200
430121202110331001
5204231203043014
610041022515413
7650626306056
oct143142247501
937324337720
1013313331009
115712034700
1226b6735b69
131342289574
1490420d02d
1552dbe5a09
hex319894f41

13313331009 has 36 divisors (see below), whose sum is σ = 21708860628. Its totient is φ = 7850589120.

The previous prime is 13313330999. The next prime is 13313331019. The reversal of 13313331009 is 90013331331.

It is a happy number.

13313331009 is a `hidden beast` number, since 13 + 313 + 331 + 0 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (13313330999) and next prime (13313331019).

It can be written as a sum of positive squares in 2 ways, for example, as 11151360000 + 2161971009 = 105600^2 + 46497^2 .

It is not a de Polignac number, because 13313331009 - 25 = 13313330977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13313331019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124914 + ... + 205499.

Almost surely, 213313331009 is an apocalyptic number.

It is an amenable number.

13313331009 is a deficient number, since it is larger than the sum of its proper divisors (8395529619).

13313331009 is a wasteful number, since it uses less digits than its factorization.

13313331009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330478 (or 330464 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The spelling of 13313331009 in words is "thirteen billion, three hundred thirteen million, three hundred thirty-one thousand, nine".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 330413 991239 2973717 3634543 10903629 12225281 32710887 36675843 39979973 110027529 119939919 134478091 359819757 403434273 1210302819 1479259001 4437777003 13313331009