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212021022100 = 22522120210221
BaseRepresentation
bin1100010101110101110…
…0000000110110010100
3202021021002221212202011
43011131130000312110
511433204340201400
6241222350154004
721214035644446
oct3053534006624
9667232855664
10212021022100
1181a10381008
12351114b2904
1316cbb9343c4
14a394812496
1557ad9988ba
hex315d700d94

212021022100 has 18 divisors (see below), whose sum is σ = 460085618174. Its totient is φ = 84808408800.

The previous prime is 212021022067. The next prime is 212021022113. The reversal of 212021022100 is 1220120212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3385843344 + 208635178756 = 58188^2 + 456766^2 .

It is a congruent number.

It is an unprimeable number.

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, 1060105011 + ... + 1060105210.

Almost surely, 2212021022100 is an apocalyptic number.

212021022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021022100 is an abundant number, since it is smaller than the sum of its proper divisors (248064596074).

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

212021022100 is a wasteful number, since it uses less digits than its factorization.

212021022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120210235 (or 2120210228 counting only the distinct ones).

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

Adding to 212021022100 its reverse (1220120212), we get a palindrome (213241142312).

The spelling of 212021022100 in words is "two hundred twelve billion, twenty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2120210221 4240420442 8480840884 10601051105 21202102210 42404204420 53005255525 106010511050 212021022100