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212583329201 is a prime number
BaseRepresentation
bin1100010111111011110…
…1000010110110110001
3202022201022001001002002
43011332331002312301
511440332313013301
6241354234303345
721234004324655
oct3057675026661
9668638031062
10212583329201
1182179824721
1235249887b55
131707b2935b9
14a409386a65
1557e301d16b
hex317ef42db1

212583329201 has 2 divisors, whose sum is σ = 212583329202. Its totient is φ = 212583329200.

The previous prime is 212583329177. The next prime is 212583329207. The reversal of 212583329201 is 102923385212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171024429601 + 41558899600 = 413551^2 + 203860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212583329201 is a prime.

It is not a weakly prime, because it can be changed into another prime (212583329207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106291664600 + 106291664601.

It is an arithmetic number, because the mean of its divisors is an integer number (106291664601).

Almost surely, 2212583329201 is an apocalyptic number.

It is an amenable number.

212583329201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212583329201 is an equidigital number, since it uses as much as digits as its factorization.

212583329201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 212583329201 in words is "two hundred twelve billion, five hundred eighty-three million, three hundred twenty-nine thousand, two hundred one".