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133317980124 = 223719231373833
BaseRepresentation
bin111110000101001011…
…1101110111111011100
3110202010011022002200120
41330022113232333130
54141013400330444
6141125002554540
712426513063540
oct1741227567734
9422104262616
10133317980124
11515a358476a
1221a07b08a50
13c758410a94
14664a005a20
1537042b8b19
hex1f0a5eefdc

133317980124 has 288 divisors, whose sum is σ = 397886017536. Its totient is φ = 33969300480.

The previous prime is 133317980069. The next prime is 133317980153. The reversal of 133317980124 is 421089713331.

133317980124 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34779712 + ... + 34783544.

It is an arithmetic number, because the mean of its divisors is an integer number (1381548672).

Almost surely, 2133317980124 is an apocalyptic number.

133317980124 is a gapful number since it is divisible by the number (14) 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 133317980124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198943008768).

133317980124 is an abundant number, since it is smaller than the sum of its proper divisors (264568037412).

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

133317980124 is a wasteful number, since it uses less digits than its factorization.

133317980124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 133317980124 in words is "one hundred thirty-three billion, three hundred seventeen million, nine hundred eighty thousand, one hundred twenty-four".