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211830568501 is a prime number
BaseRepresentation
bin1100010101001000010…
…1011111011000110101
3202020202211120211112011
43011102011133120311
511432312111143001
6241151424124221
721206234060236
oct3052205373065
9666684524464
10211830568501
1181922919442
1235079766671
1316c8b340376
14a3773d708d
15579bdc7d51
hex315215f635

211830568501 has 2 divisors, whose sum is σ = 211830568502. Its totient is φ = 211830568500.

The previous prime is 211830568423. The next prime is 211830568507. The reversal of 211830568501 is 105865038112.

It is a happy number.

211830568501 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 can be written as a sum of positive squares in only one way, i.e., 211696611025 + 133957476 = 460105^2 + 11574^2 .

It is a cyclic number.

It is not a de Polignac number, because 211830568501 - 213 = 211830560309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211830568507) 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, 105915284250 + 105915284251.

It is an arithmetic number, because the mean of its divisors is an integer number (105915284251).

Almost surely, 2211830568501 is an apocalyptic number.

It is an amenable number.

211830568501 is a deficient number, since it is larger than the sum of its proper divisors (1).

211830568501 is an equidigital number, since it uses as much as digits as its factorization.

211830568501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 211830568501 in words is "two hundred eleven billion, eight hundred thirty million, five hundred sixty-eight thousand, five hundred one".