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213001303937 is a prime number
BaseRepresentation
bin1100011001011111011…
…1011111011110000001
3202100210102112100121212
43012113313133132001
511442211313211222
6241503525055505
721250241132132
oct3062767373601
9670712470555
10213001303937
1182373757294
1235345857595
1317116a59526
14a448aa9c89
155819a826e2
hex3197ddf781

213001303937 has 2 divisors, whose sum is σ = 213001303938. Its totient is φ = 213001303936.

The previous prime is 213001303849. The next prime is 213001303961. The reversal of 213001303937 is 739303100312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122497200016 + 90504103921 = 349996^2 + 300839^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001303937 - 214 = 213001287553 is a prime.

It is not a weakly prime, because it can be changed into another prime (213001303967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500651968 + 106500651969.

It is an arithmetic number, because the mean of its divisors is an integer number (106500651969).

Almost surely, 2213001303937 is an apocalyptic number.

It is an amenable number.

213001303937 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001303937 is an equidigital number, since it uses as much as digits as its factorization.

213001303937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 32.

The spelling of 213001303937 in words is "two hundred thirteen billion, one million, three hundred three thousand, nine hundred thirty-seven".