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103388118480 = 243251923111279
BaseRepresentation
bin110000001001001101…
…0010111110111010000
3100212212021222121001100
41200102122113313100
53143214324242410
6115255034104400
710320024335643
oct1402232276720
9325767877040
10103388118480
113a934996719
121805457b100
13999873548a
14500b017a5a
152a518e68c0
hex1812697dd0

103388118480 has 360 divisors, whose sum is σ = 367913594880. Its totient is φ = 26014763520.

The previous prime is 103388118479. The next prime is 103388118481. The reversal of 103388118480 is 84811883301.

It is a happy number.

103388118480 is a `hidden beast` number, since 10 + 3 + 388 + 1 + 184 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (103388118479) and next prime (103388118481).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103388118481) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 80834481 + ... + 80835759.

It is an arithmetic number, because the mean of its divisors is an integer number (1021982208).

Almost surely, 2103388118480 is an apocalyptic number.

103388118480 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 103388118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183956797440).

103388118480 is an abundant number, since it is smaller than the sum of its proper divisors (264525476400).

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

103388118480 is a wasteful number, since it uses less digits than its factorization.

103388118480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 103388118480 in words is "one hundred three billion, three hundred eighty-eight million, one hundred eighteen thousand, four hundred eighty".