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103098037680 = 2436511160709
BaseRepresentation
bin110000000000100011…
…1110011010110110000
3100212010002010222000000
41200001013303112300
53142121044201210
6115210152430000
710306602601221
oct1400107632660
9325102128000
10103098037680
113a7a6177720
1217b933a8300
1399505cb531
144dc06a7248
152a361e6ac0
hex18011f35b0

103098037680 has 280 divisors, whose sum is σ = 392064258960. Its totient is φ = 24993308160.

The previous prime is 103098037657. The next prime is 103098037703. The reversal of 103098037680 is 86730890301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103098037657) and next prime (103098037703).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 561166 + ... + 721874.

Almost surely, 2103098037680 is an apocalyptic number.

103098037680 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 103098037680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196032129480).

103098037680 is an abundant number, since it is smaller than the sum of its proper divisors (288966221280).

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

103098037680 is a wasteful number, since it uses less digits than its factorization.

103098037680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160751 (or 160730 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 103098037680 in words is "one hundred three billion, ninety-eight million, thirty-seven thousand, six hundred eighty".