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312420166529 is a prime number
BaseRepresentation
bin1001000101111011011…
…00010110101110000001
31002212102002122212012212
410202331230112232001
520104314030312104
6355305052231505
731400030412362
oct4427554265601
91085362585185
10312420166529
11110551048239
1250670a6b595
13235cc045b83
141119a893b69
1581d7c7836e
hex48bdb16b81

312420166529 has 2 divisors, whose sum is σ = 312420166530. Its totient is φ = 312420166528.

The previous prime is 312420166517. The next prime is 312420166571. The reversal of 312420166529 is 925661024213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217323792400 + 95096374129 = 466180^2 + 308377^2 .

It is an emirp because it is prime and its reverse (925661024213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312420166529 - 232 = 308125199233 is a prime.

It is not a weakly prime, because it can be changed into another prime (312420166579) 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, 156210083264 + 156210083265.

It is an arithmetic number, because the mean of its divisors is an integer number (156210083265).

Almost surely, 2312420166529 is an apocalyptic number.

It is an amenable number.

312420166529 is a deficient number, since it is larger than the sum of its proper divisors (1).

312420166529 is an equidigital number, since it uses as much as digits as its factorization.

312420166529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 312420166529 in words is "three hundred twelve billion, four hundred twenty million, one hundred sixty-six thousand, five hundred twenty-nine".