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212033012831 is a prime number
BaseRepresentation
bin1100010101111000100…
…1110000010001011111
3202021021221112001221022
43011132021300101133
511433220422402311
6241223455154355
721214242605033
oct3053611602137
9667257461838
10212033012831
1181a17120902
12351155159bb
1316cc1272103
14a3962541c3
1557aea665db
hex315e27045f

212033012831 has 2 divisors, whose sum is σ = 212033012832. Its totient is φ = 212033012830.

The previous prime is 212033012797. The next prime is 212033012833. The reversal of 212033012831 is 138210330212.

212033012831 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 not a de Polignac number, because 212033012831 - 222 = 212028818527 is a prime.

It is a super-2 number, since 2×2120330128312 (a number of 23 digits) contains 22 as substring.

Together with 212033012833, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212033012831.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212033012833) 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, 106016506415 + 106016506416.

It is an arithmetic number, because the mean of its divisors is an integer number (106016506416).

Almost surely, 2212033012831 is an apocalyptic number.

212033012831 is a deficient number, since it is larger than the sum of its proper divisors (1).

212033012831 is an equidigital number, since it uses as much as digits as its factorization.

212033012831 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 26.

The spelling of 212033012831 in words is "two hundred twelve billion, thirty-three million, twelve thousand, eight hundred thirty-one".