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103583497380 = 2235111954715101
BaseRepresentation
bin110000001111000001…
…1101011110010100100
3100220100220121212111220
41200132003223302210
53144114333404010
6115330253500340
710324616125506
oct1403603536244
9326326555456
10103583497380
113aa25202790
12180a9aa16b0
1399ca0622ac
145028d55d76
152a63b3b970
hex181e0ebca4

103583497380 has 192 divisors, whose sum is σ = 333684126720. Its totient is φ = 23744448000.

The previous prime is 103583497319. The next prime is 103583497397. The reversal of 103583497380 is 83794385301.

It is a super-3 number, since 3×1035834973803 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6851830 + ... + 6866930.

It is an arithmetic number, because the mean of its divisors is an integer number (1737938160).

Almost surely, 2103583497380 is an apocalyptic number.

103583497380 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 103583497380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166842063360).

103583497380 is an abundant number, since it is smaller than the sum of its proper divisors (230100629340).

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

103583497380 is a wasteful number, since it uses less digits than its factorization.

103583497380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690 (or 15688 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 103583497380 in words is "one hundred three billion, five hundred eighty-three million, four hundred ninety-seven thousand, three hundred eighty".