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103708321920 = 27335743127157
BaseRepresentation
bin110000010010101111…
…1110110100010000000
3100220200121111121121000
41200211133312202000
53144343312300140
6115350513132000
710330663122450
oct1404537664200
9326617447530
10103708321920
113aa8970a265
121812385a000
139a19b88178
14503b769d60
152a6ea96a30
hex18257f6880

103708321920 has 1024 divisors, whose sum is σ = 435673497600. Its totient is φ = 22824861696.

The previous prime is 103708321919. The next prime is 103708321921. The reversal of 103708321920 is 29123807301.

It is an interprime number because it is at equal distance from previous prime (103708321919) and next prime (103708321921).

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

It is not an unprimeable number, because it can be changed into a prime (103708321921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 660562482 + ... + 660562638.

It is an arithmetic number, because the mean of its divisors is an integer number (425462400).

Almost surely, 2103708321920 is an apocalyptic number.

103708321920 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 103708321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217836748800).

103708321920 is an abundant number, since it is smaller than the sum of its proper divisors (331965175680).

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

103708321920 is a wasteful number, since it uses less digits than its factorization.

103708321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 103708321920 in words is "one hundred three billion, seven hundred eight million, three hundred twenty-one thousand, nine hundred twenty".