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13313031032 = 23712715711923
BaseRepresentation
bin11000110011000010…
…01011101101111000
31021100210211001022102
430121201023231320
5204231113443112
610041012242532
7650623616360
oct143141135570
937323731272
1013313031032
11571194a294
1226b6610448
1313421b2b72
149041719a0
1552db86bc2
hex31984bb78

13313031032 has 64 divisors (see below), whose sum is σ = 28938117120. Its totient is φ = 5624131968.

The previous prime is 13313031023. The next prime is 13313031037. The reversal of 13313031032 is 23013031331.

13313031032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13313030995 and 13313031013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313031037) 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, 1110623 + ... + 1122545.

It is an arithmetic number, because the mean of its divisors is an integer number (452158080).

Almost surely, 213313031032 is an apocalyptic number.

It is an amenable number.

13313031032 is an abundant number, since it is smaller than the sum of its proper divisors (15625086088).

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

13313031032 is a wasteful number, since it uses less digits than its factorization.

13313031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12220 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13313031032 its reverse (23013031331), we get a palindrome (36326062363).

The spelling of 13313031032 in words is "thirteen billion, three hundred thirteen million, thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 127 157 254 314 508 628 889 1016 1099 1256 1778 2198 3556 4396 7112 8792 11923 19939 23846 39878 47692 79756 83461 95384 139573 159512 166922 279146 333844 558292 667688 1116584 1514221 1871911 3028442 3743822 6056884 7487644 10599547 12113768 13103377 14975288 21199094 26206754 42398188 52413508 84796376 104827016 237732697 475465394 950930788 1664128879 1901861576 3328257758 6656515516 13313031032