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291312072629 is a prime number
BaseRepresentation
bin1000011110100111000…
…11010111011110110101
31000211221001001120220022
410033103203113132311
514233101342311004
6341454340414525
730021661522124
oct4172343273665
91024831046808
10291312072629
111025aa085936
124855b9a7445
1321616c15496
1410157363abb
15789eac82be
hex43d38d77b5

291312072629 has 2 divisors, whose sum is σ = 291312072630. Its totient is φ = 291312072628.

The previous prime is 291312072589. The next prime is 291312072643. The reversal of 291312072629 is 926270213192.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286120149604 + 5191923025 = 534902^2 + 72055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-291312072629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 291312072629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (291312072679) 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, 145656036314 + 145656036315.

It is an arithmetic number, because the mean of its divisors is an integer number (145656036315).

Almost surely, 2291312072629 is an apocalyptic number.

It is an amenable number.

291312072629 is a deficient number, since it is larger than the sum of its proper divisors (1).

291312072629 is an equidigital number, since it uses as much as digits as its factorization.

291312072629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 291312072629 in words is "two hundred ninety-one billion, three hundred twelve million, seventy-two thousand, six hundred twenty-nine".