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104177073000 = 2335371113113307
BaseRepresentation
bin110000100000101101…
…1111111101101101000
3100221220021112122012010
41201001123333231220
53201323312314000
6115505220115520
710345414336620
oct1410133775550
9327807478163
10104177073000
11401aa272950
1218234835ba0
139a9301b980
145083b09880
152a9acdad50
hex18416ffb68

104177073000 has 1024 divisors, whose sum is σ = 441703342080. Its totient is φ = 19740672000.

The previous prime is 104177072981. The next prime is 104177073019. The reversal of 104177073000 is 370771401.

It is an interprime number because it is at equal distance from previous prime (104177072981) and next prime (104177073019).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 339338847 + ... + 339339153.

It is an arithmetic number, because the mean of its divisors is an integer number (431350920).

Almost surely, 2104177073000 is an apocalyptic number.

104177073000 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 104177073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220851671040).

104177073000 is an abundant number, since it is smaller than the sum of its proper divisors (337526269080).

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

104177073000 is a wasteful number, since it uses less digits than its factorization.

104177073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The spelling of 104177073000 in words is "one hundred four billion, one hundred seventy-seven million, seventy-three thousand".