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13201172940 = 22352947337479
BaseRepresentation
bin11000100101101100…
…11110100111001100
31021002000100001212010
430102312132213030
5204014000013230
610021534541220
7645065055444
oct142266364714
937060301763
1013201172940
11566479968a
122685067810
131324c79b47
148d3375124
15523e3d9b0
hex312d9e9cc

13201172940 has 192 divisors, whose sum is σ = 39249100800. Its totient is φ = 3309809664.

The previous prime is 13201172939. The next prime is 13201173049. The reversal of 13201172940 is 4927110231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13201172898 and 13201172907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27559621 + ... + 27560099.

It is an arithmetic number, because the mean of its divisors is an integer number (204422400).

Almost surely, 213201172940 is an apocalyptic number.

13201172940 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 13201172940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624550400).

13201172940 is an abundant number, since it is smaller than the sum of its proper divisors (26047927860).

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

13201172940 is a wasteful number, since it uses less digits than its factorization.

13201172940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 13201172940 in words is "thirteen billion, two hundred one million, one hundred seventy-two thousand, nine hundred forty".