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13302018180 = 223351119432741
BaseRepresentation
bin11000110001101110…
…01011000010000100
31021100001002112112000
430120313023002010
5204220304040210
610035540225300
7650431201053
oct143067130204
937301075460
1013302018180
115706708160
1226b299b230
13133cb28299
1490290639a
1552cc0dac0
hex318dcb084

13302018180 has 384 divisors, whose sum is σ = 48645273600. Its totient is φ = 2982873600.

The previous prime is 13302018139. The next prime is 13302018209. The reversal of 13302018180 is 8181020331.

It is a super-2 number, since 2×133020181802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4851610 + ... + 4854350.

It is an arithmetic number, because the mean of its divisors is an integer number (126680400).

Almost surely, 213302018180 is an apocalyptic number.

13302018180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302018180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24322636800).

13302018180 is an abundant number, since it is smaller than the sum of its proper divisors (35343255420).

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

13302018180 is a wasteful number, since it uses less digits than its factorization.

13302018180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 13302018180 in words is "thirteen billion, three hundred two million, eighteen thousand, one hundred eighty".