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212020102100 = 22522120201021
BaseRepresentation
bin1100010101110101100…
…0100000001111010100
3202021021001020010202002
43011131120200033110
511433204121231400
6241222314334432
721214025063312
oct3053530401724
9667231203662
10212020102100
1181a0a902884
123511112a418
1316cbb6a1721
14a3946530b2
1557ad865ed5
hex315d6203d4

212020102100 has 18 divisors (see below), whose sum is σ = 460083621774. Its totient is φ = 84808040800.

The previous prime is 212020102051. The next prime is 212020102103. The reversal of 212020102100 is 1201020212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7873367824 + 204146734276 = 88732^2 + 451826^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060100411 + ... + 1060100610.

Almost surely, 2212020102100 is an apocalyptic number.

212020102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020102100 is an abundant number, since it is smaller than the sum of its proper divisors (248063519674).

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

212020102100 is a wasteful number, since it uses less digits than its factorization.

212020102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120201035 (or 2120201028 counting only the distinct ones).

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

Adding to 212020102100 its reverse (1201020212), we get a palindrome (213221122312).

The spelling of 212020102100 in words is "two hundred twelve billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2120201021 4240402042 8480804084 10601005105 21202010210 42404020420 53005025525 106010051050 212020102100