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103900237056 = 2835711109199
BaseRepresentation
bin110000011000011101…
…1111100110100000000
3100221011222121220200000
41200300323330310000
53200241430041211
6115421530400000
710335513305010
oct1406073746400
9327158556600
10103900237056
1140077a7aa10
1218177b90000
139a4a871515
145059045c40
152a81855656
hex1830efcd00

103900237056 has 864 divisors, whose sum is σ = 392840448000. Its totient is φ = 26605117440.

The previous prime is 103900237031. The next prime is 103900237093. The reversal of 103900237056 is 650732009301.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103900237056.

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, 522111645 + ... + 522111843.

Almost surely, 2103900237056 is an apocalyptic number.

103900237056 is a gapful number since it is divisible by the number (16) 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 103900237056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196420224000).

103900237056 is an abundant number, since it is smaller than the sum of its proper divisors (288940210944).

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

103900237056 is a wasteful number, since it uses less digits than its factorization.

103900237056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 103900237056 in words is "one hundred three billion, nine hundred million, two hundred thirty-seven thousand, fifty-six".