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21049131137 is a prime number
BaseRepresentation
bin10011100110101000…
…000100000010000001
32000022221122122121112
4103212220010002001
5321102034144022
613400403533105
71343421443156
oct234650040201
960287578545
1021049131137
118a2175a851
1240b538a195
131ca5b578a8
14103978222d
15832e048e2
hex4e6a04081

21049131137 has 2 divisors, whose sum is σ = 21049131138. Its totient is φ = 21049131136.

The previous prime is 21049131127. The next prime is 21049131167. The reversal of 21049131137 is 73113194012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19758238096 + 1290893041 = 140564^2 + 35929^2 .

It is a cyclic number.

It is not a de Polignac number, because 21049131137 - 26 = 21049131073 is a prime.

It is not a weakly prime, because it can be changed into another prime (21049131127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10524565568 + 10524565569.

It is an arithmetic number, because the mean of its divisors is an integer number (10524565569).

Almost surely, 221049131137 is an apocalyptic number.

It is an amenable number.

21049131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21049131137 is an equidigital number, since it uses as much as digits as its factorization.

21049131137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 21049131137 in words is "twenty-one billion, forty-nine million, one hundred thirty-one thousand, one hundred thirty-seven".