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221021202020100 = 223525039146207053
BaseRepresentation
bin110010010000010010000010…
…001110111111011100000100
31001222120102100120212012112220
4302100102002032333130010
5212432202410204120400
62102023423303012340
764361153266313226
oct6220220216773404
91058512316765486
10221021202020100
1164473624590839
122095748143a0b0
139643296266b71
143c816aa0a8416
151a84406be17a0
hexc904823bf704

221021202020100 has 72 divisors (see below), whose sum is σ = 639614923274880. Its totient is φ = 58927290238080.

The previous prime is 221021202020029. The next prime is 221021202020119. The reversal of 221021202020100 is 1020202120122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221021202020100.

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, 71591827 + ... + 74615226.

It is an arithmetic number, because the mean of its divisors is an integer number (8883540601040).

Almost surely, 2221021202020100 is an apocalyptic number.

221021202020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021202020100 is an abundant number, since it is smaller than the sum of its proper divisors (418593721254780).

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

221021202020100 is a wasteful number, since it uses less digits than its factorization.

221021202020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146212109 (or 146212102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221021202020100 its reverse (1020202120122), we get a palindrome (222041404140222).

The spelling of 221021202020100 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5039 10078 15117 20156 25195 30234 50390 60468 75585 100780 125975 151170 251950 302340 377925 503900 755850 1511700 146207053 292414106 438621159 584828212 731035265 877242318 1462070530 1754484636 2193105795 2924141060 3655176325 4386211590 7310352650 8772423180 10965528975 14620705300 21931057950 43862115900 736737340067 1473474680134 2210212020201 2946949360268 3683686700335 4420424040402 7367373400670 8840848080804 11051060101005 14734746801340 18418433501675 22102120202010 36836867003350 44204240404020 55255300505025 73673734006700 110510601010050 221021202020100