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212002000031 is a prime number
BaseRepresentation
bin1100010101110001001…
…1011100110010011111
3202021012210011110101002
43011130103130302133
511433140003000111
6241220430340515
721213415160513
oct3053423346237
9667183143332
10212002000031
1181a00669498
123510705a73b
1316cb7a04143
14a3920a0143
1557abe8c63b
hex315c4dcc9f

212002000031 has 2 divisors, whose sum is σ = 212002000032. Its totient is φ = 212002000030.

The previous prime is 212001999961. The next prime is 212002000033. The reversal of 212002000031 is 130000200212.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212002000031 is a prime.

It is a super-2 number, since 2×2120020000312 (a number of 23 digits) contains 22 as substring.

Together with 212002000033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 212001999976 and 212002000021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212002000033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106001000015 + 106001000016.

It is an arithmetic number, because the mean of its divisors is an integer number (106001000016).

Almost surely, 2212002000031 is an apocalyptic number.

212002000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

212002000031 is an equidigital number, since it uses as much as digits as its factorization.

212002000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 212002000031 its reverse (130000200212), we get a palindrome (342002200243).

The spelling of 212002000031 in words is "two hundred twelve billion, two million, thirty-one", and thus it is an aban number.