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13220903731 = 730722932683
BaseRepresentation
bin11000101000000011…
…01111101100110011
31021010101110111102011
430110001233230303
5204034022404411
610023521503351
7645424553560
oct142401575463
937111414364
1013220903731
115674945722
12268b7a1b57
131329097879
148d5c2d867
15525a39c21
hex31406fb33

13220903731 has 16 divisors (see below), whose sum is σ = 15171084544. Its totient is φ = 11286156384.

The previous prime is 13220903713. The next prime is 13220903851. The reversal of 13220903731 is 13730902231.

It is a happy number.

13220903731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13220903731 - 223 = 13212515123 is a prime.

It is a super-3 number, since 3×132209037313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13220903693 and 13220903702.

It is not an unprimeable number, because it can be changed into a prime (13220933731) 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 15 ways as a sum of consecutive naturals, for example, 4926316 + ... + 4928998.

It is an arithmetic number, because the mean of its divisors is an integer number (948192784).

Almost surely, 213220903731 is an apocalyptic number.

13220903731 is a deficient number, since it is larger than the sum of its proper divisors (1950180813).

13220903731 is a wasteful number, since it uses less digits than its factorization.

13220903731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290.

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 13220903731 in words is "thirteen billion, two hundred twenty million, nine hundred three thousand, seven hundred thirty-one".

Divisors: 1 7 307 2149 2293 2683 16051 18781 703951 823681 4927657 5765767 6152119 43064833 1888700533 13220903731