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13101211320 = 2335313521831
BaseRepresentation
bin11000011001110010…
…01001111010111000
31020211001020111021220
430030321021322320
5203312402230240
610004004232040
7642442313241
oct141471117270
936731214256
1013101211320
115613323a7a
12265769b620
13130a34a962
148c3d93cc8
1551a2955d0
hex30ce49eb8

13101211320 has 64 divisors (see below), whose sum is σ = 40571504640. Its totient is φ = 3380956800.

The previous prime is 13101211297. The next prime is 13101211349. The reversal of 13101211320 is 2311210131.

It is a happy number.

13101211320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131012113202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13101211320.

It is a congruent number.

It is an unprimeable number.

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, 1757196 + ... + 1764635.

It is an arithmetic number, because the mean of its divisors is an integer number (633929760).

Almost surely, 213101211320 is an apocalyptic number.

13101211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101211320 is an abundant number, since it is smaller than the sum of its proper divisors (27470293320).

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

13101211320 is a wasteful number, since it uses less digits than its factorization.

13101211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521876 (or 3521872 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13101211320 its reverse (2311210131), we get a palindrome (15412421451).

The spelling of 13101211320 in words is "thirteen billion, one hundred one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 3521831 7043662 10565493 14087324 17609155 21130986 28174648 35218310 42261972 52827465 70436620 84523944 105654930 109176761 140873240 211309860 218353522 327530283 422619720 436707044 545883805 655060566 873414088 1091767610 1310121132 1637651415 2183535220 2620242264 3275302830 4367070440 6550605660 13101211320