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13020133332 = 22317509912517
BaseRepresentation
bin11000010000000111…
…10111011111010100
31020121101200022012110
430020003313133110
5203131123231312
65551550351020
7640436210253
oct141003673724
936541608173
1013020133332
115581586978
1226344bb470
1312c6600a0b
148b72ca79a
155130cc43c
hex3080f77d4

13020133332 has 48 divisors (see below), whose sum is σ = 32176267200. Its totient is φ = 4083620352.

The previous prime is 13020133309. The next prime is 13020133381. The reversal of 13020133332 is 23333102031.

13020133332 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 = 13020133299 and 13020133308.

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, 1033938 + ... + 1046454.

It is an arithmetic number, because the mean of its divisors is an integer number (670338900).

Almost surely, 213020133332 is an apocalyptic number.

13020133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13020133332 is an abundant number, since it is smaller than the sum of its proper divisors (19156133868).

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

13020133332 is a wasteful number, since it uses less digits than its factorization.

13020133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17640 (or 17638 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13020133332 its reverse (23333102031), we get a palindrome (36353235363).

The spelling of 13020133332 in words is "thirteen billion, twenty million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 5099 10198 12517 15297 20396 25034 30594 37551 50068 61188 75102 86683 150204 173366 212789 260049 346732 425578 520098 638367 851156 1040196 1276734 2553468 63824183 127648366 191472549 255296732 382945098 765890196 1085011111 2170022222 3255033333 4340044444 6510066666 13020133332