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212011100129 is a prime number
BaseRepresentation
bin1100010101110011011…
…0001010011111100001
3202021020102021210100202
43011130312022133201
511433144320201004
6241221353354545
721213555421433
oct3053466123741
9667212253322
10212011100129
1181a05814534
123510a108a55
1316cb986c20a
14a39338c653
1557acb88b1e
hex315cd8a7e1

212011100129 has 2 divisors, whose sum is σ = 212011100130. Its totient is φ = 212011100128.

The previous prime is 212011100117. The next prime is 212011100131. The reversal of 212011100129 is 921001110212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205734816400 + 6276283729 = 453580^2 + 79223^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011100129 - 24 = 212011100113 is a prime.

Together with 212011100131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212011100129.

It is not a weakly prime, because it can be changed into another prime (212011120129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005550064 + 106005550065.

It is an arithmetic number, because the mean of its divisors is an integer number (106005550065).

Almost surely, 2212011100129 is an apocalyptic number.

It is an amenable number.

212011100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011100129 is an equidigital number, since it uses as much as digits as its factorization.

212011100129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 212011100129 in words is "two hundred twelve billion, eleven million, one hundred thousand, one hundred twenty-nine".