Search a number
-
+
3122952118104 = 23372132113241577
BaseRepresentation
bin101101011100011110011…
…100111001111101011000
3102001112212220101000200010
4231130132130321331120
5402131301220234404
610350355302041520
7441424444005600
oct55343634717530
912045786330603
103122952118104
11aa4489067925
124252ba4192a0
13198654505500
14ab21a33dc00
155637d981189
hex2d71e739f58

3122952118104 has 576 divisors, whose sum is σ = 9979878443040. Its totient is φ = 811550638080.

The previous prime is 3122952118093. The next prime is 3122952118207. The reversal of 3122952118104 is 4018112592213.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5412395064 + ... + 5412395640.

Almost surely, 23122952118104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122952118104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989939221520).

3122952118104 is an abundant number, since it is smaller than the sum of its proper divisors (6856926324936).

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

3122952118104 is a wasteful number, since it uses less digits than its factorization.

3122952118104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 3122952118104 in words is "three trillion, one hundred twenty-two billion, nine hundred fifty-two million, one hundred eighteen thousand, one hundred four".