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2131122029 is a prime number
BaseRepresentation
bin111111100000110…
…0101011101101101
312111112002012211112
41333001211131231
513331031401104
6551245201405
7103545144521
oct17701453555
95445065745
102131122029
119a3a65583
124b5860265
1327c69676a
1416306bd81
15c716386e
hex7f06576d

2131122029 has 2 divisors, whose sum is σ = 2131122030. Its totient is φ = 2131122028.

The previous prime is 2131121981. The next prime is 2131122053. The reversal of 2131122029 is 9202211312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1497844804 + 633277225 = 38702^2 + 25165^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131122029 - 220 = 2130073453 is a prime.

It is a super-2 number, since 2×21311220292 = 9083362204978153682, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2131121995 and 2131122013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131122229) 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, 1065561014 + 1065561015.

It is an arithmetic number, because the mean of its divisors is an integer number (1065561015).

Almost surely, 22131122029 is an apocalyptic number.

It is an amenable number.

2131122029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131122029 is an equidigital number, since it uses as much as digits as its factorization.

2131122029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2131122029 is about 46164.0772571054. The cubic root of 2131122029 is about 1286.8742359410.

The spelling of 2131122029 in words is "two billion, one hundred thirty-one million, one hundred twenty-two thousand, twenty-nine".