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21211010129 is a prime number
BaseRepresentation
bin10011110000010001…
…100101010001010001
32000202020020221211202
4103300101211101101
5321420004311004
613424425320545
71350425416451
oct236021452121
960666227752
1021211010129
118aa5075941
12413b636155
13200055568a
14105307dd61
1584222db1e
hex4f0465451

21211010129 has 2 divisors, whose sum is σ = 21211010130. Its totient is φ = 21211010128.

The previous prime is 21211010099. The next prime is 21211010131. The reversal of 21211010129 is 92101011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21211009600 + 529 = 145640^2 + 23^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21211010129 is a prime.

Together with 21211010131, 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 21211010129.

It is not a weakly prime, because it can be changed into another prime (21211010189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605505064 + 10605505065.

It is an arithmetic number, because the mean of its divisors is an integer number (10605505065).

Almost surely, 221211010129 is an apocalyptic number.

It is an amenable number.

21211010129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211010129 is an equidigital number, since it uses as much as digits as its factorization.

21211010129 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 21211010129 in words is "twenty-one billion, two hundred eleven million, ten thousand, one hundred twenty-nine".