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103312300120020 = 223253679115600479
BaseRepresentation
bin10111011111011001000100…
…111100110001011111010100
3111112210120002211100200002200
4113133121010330301133110
5102020132042312320040
61003421003201404500
730522032051465145
oct2737310474613724
9445716084320080
10103312300120020
112aa115560873a2
12b706748339730
134585400b79874
141b724b066dacc
15be25cb477630
hex5df644f317d4

103312300120020 has 72 divisors (see below), whose sum is σ = 313389181647360. Its totient is φ = 27549196109760.

The previous prime is 103312300119989. The next prime is 103312300120031. The reversal of 103312300120020 is 20021003213301.

103312300120020 is a `hidden beast` number, since 1 + 0 + 331 + 2 + 300 + 12 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103312300119975 and 103312300120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177860 + ... + 14422619.

It is an arithmetic number, because the mean of its divisors is an integer number (4352627522880).

Almost surely, 2103312300120020 is an apocalyptic number.

103312300120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312300120020 is an abundant number, since it is smaller than the sum of its proper divisors (210076881527340).

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

103312300120020 is a wasteful number, since it uses less digits than its factorization.

103312300120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15637285 (or 15637280 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103312300120020 its reverse (20021003213301), we get a palindrome (123333303333321).

The spelling of 103312300120020 in words is "one hundred three trillion, three hundred twelve billion, three hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 36791 73582 110373 147164 183955 220746 331119 367910 441492 551865 662238 735820 1103730 1324476 1655595 2207460 3311190 6622380 15600479 31200958 46801437 62401916 78002395 93602874 140404311 156004790 187205748 234007185 280808622 312009580 468014370 561617244 702021555 936028740 1404043110 2808086220 573957222889 1147914445778 1721871668667 2295828891556 2869786114445 3443743337334 5165615006001 5739572228890 6887486674668 8609358343335 10331230012002 11479144457780 17218716686670 20662460024004 25828075030005 34437433373340 51656150060010 103312300120020