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104101240320 = 2932571158679
BaseRepresentation
bin110000011110011101…
…0101101111000000000
3100221200222211221022100
41200330322231320000
53201144404142240
6115453510510400
710343503641240
oct1407472557000
9327628757270
10104101240320
1140170488710
1218213365400
139a803ba36c
145077a09b20
152a9430be30
hex183ceade00

104101240320 has 480 divisors, whose sum is σ = 449501944320. Its totient is φ = 21631057920.

The previous prime is 104101240319. The next prime is 104101240351. The reversal of 104101240320 is 23042101401.

104101240320 is a `hidden beast` number, since 1 + 0 + 4 + 101 + 240 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104101240293 and 104101240302.

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 47 ways as a sum of consecutive naturals, for example, 1744741 + ... + 1803419.

It is an arithmetic number, because the mean of its divisors is an integer number (936462384).

Almost surely, 2104101240320 is an apocalyptic number.

104101240320 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 104101240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224750972160).

104101240320 is an abundant number, since it is smaller than the sum of its proper divisors (345400704000).

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

104101240320 is a wasteful number, since it uses less digits than its factorization.

104101240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58726 (or 58707 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104101240320 its reverse (23042101401), we get a palindrome (127143341721).

The spelling of 104101240320 in words is "one hundred four billion, one hundred one million, two hundred forty thousand, three hundred twenty".