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22101220129 is a prime number
BaseRepresentation
bin10100100101010101…
…011101101100100001
32010001021100022101111
4110211111131230201
5330230403021004
614053025503321
71411455162052
oct244525355441
963037308344
1022101220129
11941162088a
1243497a1b41
132112b01c61
1410d93ac729
15895474a04
hex52555db21

22101220129 has 2 divisors, whose sum is σ = 22101220130. Its totient is φ = 22101220128.

The previous prime is 22101220111. The next prime is 22101220153. The reversal of 22101220129 is 92102210122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16842069729 + 5259150400 = 129777^2 + 72520^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101220129 - 223 = 22092831521 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101223129) 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 as a sum of consecutive naturals, namely, 11050610064 + 11050610065.

It is an arithmetic number, because the mean of its divisors is an integer number (11050610065).

Almost surely, 222101220129 is an apocalyptic number.

It is an amenable number.

22101220129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101220129 is an equidigital number, since it uses as much as digits as its factorization.

22101220129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 22101220129 in words is "twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred twenty-nine".