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212976900137 is a prime number
BaseRepresentation
bin1100011001011001101…
…0011001100000101001
3202100201201121111220102
43012112122121200221
511442134041301022
6241501254035145
721246523532051
oct3062632314051
9670651544812
10212976900137
11823609a9361
1235339648ab5
1317111993801
14a445756561
155817861a92
hex3196699829

212976900137 has 2 divisors, whose sum is σ = 212976900138. Its totient is φ = 212976900136.

The previous prime is 212976900119. The next prime is 212976900163. The reversal of 212976900137 is 731009679212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164812452841 + 48164447296 = 405971^2 + 219464^2 .

It is a cyclic number.

It is not a de Polignac number, because 212976900137 - 28 = 212976899881 is a prime.

It is a super-4 number, since 4×2129769001374 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212976900091 and 212976900100.

It is not a weakly prime, because it can be changed into another prime (212976900107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106488450068 + 106488450069.

It is an arithmetic number, because the mean of its divisors is an integer number (106488450069).

Almost surely, 2212976900137 is an apocalyptic number.

It is an amenable number.

212976900137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212976900137 is an equidigital number, since it uses as much as digits as its factorization.

212976900137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768, while the sum is 47.

The spelling of 212976900137 in words is "two hundred twelve billion, nine hundred seventy-six million, nine hundred thousand, one hundred thirty-seven".