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212122102100 = 22527926850899
BaseRepresentation
bin1100010110001101110…
…1100110100101010100
3202021112011011021102212
43011203131212211110
511433411224231400
6241240400452552
721216404055356
oct3054335464524
9667464137385
10212122102100
1181a6243a9a7
123513b31a158
131700686565c
14a3a40050d6
1557b77b3335
hex3163766954

212122102100 has 36 divisors (see below), whose sum is σ = 466131624000. Its totient is φ = 83774801760.

The previous prime is 212122102099. The next prime is 212122102103. The reversal of 212122102100 is 1201221212.

212122102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13417550 + ... + 13433349.

Almost surely, 2212122102100 is an apocalyptic number.

212122102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122102100 is an abundant number, since it is smaller than the sum of its proper divisors (254009521900).

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

212122102100 is a wasteful number, since it uses less digits than its factorization.

212122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26850992 (or 26850985 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212122102100 its reverse (1201221212), we get a palindrome (213323323312).

The spelling of 212122102100 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 26850899 53701798 107403596 134254495 268508990 537017980 671272475 1342544950 2121221021 2685089900 4242442042 8484884084 10606105105 21212210210 42424420420 53030525525 106061051050 212122102100