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202120212100 = 225219611743919
BaseRepresentation
bin1011110000111101001…
…1011010111010000100
3201022201002211121201111
42330033103122322010
511302420233241400
6232504105334404
720413504312252
oct2741723327204
9638632747644
10202120212100
117879a654a04
1233209797404
13160a1665b51
149ad590d5d2
1553ce6803ba
hex2f0f4dae84

202120212100 has 72 divisors (see below), whose sum is σ = 469253993600. Its totient is φ = 75337257600.

The previous prime is 202120212037. The next prime is 202120212103. The reversal of 202120212100 is 1212021202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202120212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756060 + ... + 987859.

Almost surely, 2202120212100 is an apocalyptic number.

202120212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120212100 is an abundant number, since it is smaller than the sum of its proper divisors (267133781500).

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

202120212100 is a wasteful number, since it uses less digits than its factorization.

202120212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744013 (or 1744006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202120212100 its reverse (1212021202), we get a palindrome (203332233302).

It can be divided in two parts, 2021202 and 12100, that added together give a palindrome (2033302).

The spelling of 202120212100 in words is "two hundred two billion, one hundred twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 61 76 95 100 122 190 244 305 380 475 610 950 1159 1220 1525 1900 2318 3050 4636 5795 6100 11590 23180 28975 57950 115900 1743919 3487838 6975676 8719595 17439190 33134461 34878380 43597975 66268922 87195950 106379059 132537844 165672305 174391900 212758118 331344610 425516236 531895295 662689220 828361525 1063790590 1656723050 2021202121 2127581180 2659476475 3313446100 4042404242 5318952950 8084808484 10106010605 10637905900 20212021210 40424042420 50530053025 101060106050 202120212100