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103202410416 = 2437307150031
BaseRepresentation
bin110000000011101010…
…1111100111110110000
3100212101100112122110220
41200013111330332300
53142324304113131
6115224401453040
710312311005010
oct1400725747660
9325340478426
10103202410416
113a84a085486
1218002341180
139969113451
144dd04b5c40
152a40461e96
hex180757cfb0

103202410416 has 40 divisors (see below), whose sum is σ = 304692831744. Its totient is φ = 29486402880.

The previous prime is 103202410397. The next prime is 103202410433. The reversal of 103202410416 is 614014202301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153574680 + ... + 153575351.

Almost surely, 2103202410416 is an apocalyptic number.

103202410416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103202410416 is an abundant number, since it is smaller than the sum of its proper divisors (201490421328).

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

103202410416 is a wasteful number, since it uses less digits than its factorization.

103202410416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307150049 (or 307150043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103202410416 its reverse (614014202301), we get a palindrome (717216612717).

The spelling of 103202410416 in words is "one hundred three billion, two hundred two million, four hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 307150031 614300062 921450093 1228600124 1842900186 2150050217 2457200248 3685800372 4300100434 4914400496 6450150651 7371600744 8600200868 12900301302 14743201488 17200401736 25800602604 34400803472 51601205208 103202410416