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21122160149 is a prime number
BaseRepresentation
bin10011101010111110…
…101001011000010101
32000112001001220120202
4103222332221120111
5321224233111044
613411533110245
71345266253556
oct235276513025
960461056522
1021122160149
118a599aa602
124115928385
131cb801701c
14104535232d
1583952cc4e
hex4eafa9615

21122160149 has 2 divisors, whose sum is σ = 21122160150. Its totient is φ = 21122160148.

The previous prime is 21122160133. The next prime is 21122160197. The reversal of 21122160149 is 94106122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14870095249 + 6252064900 = 121943^2 + 79070^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122160149 - 24 = 21122160133 is a prime.

It is a super-2 number, since 2×211221601492 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122169149) 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 as a sum of consecutive naturals, namely, 10561080074 + 10561080075.

It is an arithmetic number, because the mean of its divisors is an integer number (10561080075).

Almost surely, 221122160149 is an apocalyptic number.

It is an amenable number.

21122160149 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122160149 is an equidigital number, since it uses as much as digits as its factorization.

21122160149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 21122160149 in words is "twenty-one billion, one hundred twenty-two million, one hundred sixty thousand, one hundred forty-nine".