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100222100012000 = 255325055525003
BaseRepresentation
bin10110110010011011000110…
…101010110111101111100000
3111010212010202110200010221002
4112302123012222313233200
5101114014330100341000
6553053221440451132
730052544032120151
oct2662330652675740
9433763673603832
10100222100012000
1129a2aa547434aa
12b2a786a619aa8
1343bcb98c331a5
141aa6ac0069928
15b8c01802a8d5
hex5b26c6ab7be0

100222100012000 has 48 divisors (see below), whose sum is σ = 246245699739312. Its totient is φ = 40088840003200.

The previous prime is 100222100011963. The next prime is 100222100012029. The reversal of 100222100012000 is 210001222001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12527758502 + ... + 12527766501.

It is an arithmetic number, because the mean of its divisors is an integer number (5130118744569).

Almost surely, 2100222100012000 is an apocalyptic number.

100222100012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222100012000 is an abundant number, since it is smaller than the sum of its proper divisors (146023599727312).

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

100222100012000 is an equidigital number, since it uses as much as digits as its factorization.

100222100012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25055525028 (or 25055525010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100222100012000 its reverse (210001222001), we get a palindrome (100432101234001).

The spelling of 100222100012000 in words is "one hundred trillion, two hundred twenty-two billion, one hundred million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 25055525003 50111050006 100222100012 125277625015 200444200024 250555250030 400888400048 501110500060 626388125075 801776800096 1002221000120 1252776250150 2004442000240 2505552500300 3131940625375 4008884000480 5011105000600 6263881250750 10022210001200 12527762501500 20044420002400 25055525003000 50111050006000 100222100012000