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202012102031 is a prime number
BaseRepresentation
bin1011110000100011011…
…1000000110110001111
3201022102120102001120212
42330020313000312033
511302210044231111
6232445244233035
720411022351455
oct2741067006617
9638376361525
10202012102031
1178744624243
123319953b77b
1316085142aac
149ac540a9d5
1553c4e2798b
hex2f08dc0d8f

202012102031 has 2 divisors, whose sum is σ = 202012102032. Its totient is φ = 202012102030.

The previous prime is 202012101961. The next prime is 202012102073. The reversal of 202012102031 is 130201210202.

It is a happy number.

202012102031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202012102031 is a prime.

It is a super-2 number, since 2×2020121020312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202012101997 and 202012102015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202002102031) 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, 101006051015 + 101006051016.

It is an arithmetic number, because the mean of its divisors is an integer number (101006051016).

Almost surely, 2202012102031 is an apocalyptic number.

202012102031 is a deficient number, since it is larger than the sum of its proper divisors (1).

202012102031 is an equidigital number, since it uses as much as digits as its factorization.

202012102031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 202012102031 its reverse (130201210202), we get a palindrome (332213312233).

The spelling of 202012102031 in words is "two hundred two billion, twelve million, one hundred two thousand, thirty-one".