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2901659141 is a prime number
BaseRepresentation
bin1010110011110011…
…1100111000000101
321111012222120001002
42230330330320011
521420311043031
61155532343045
7131622460433
oct25474747005
97435876032
102901659141
111259a02507
1268b914a85
13373201c94
141d7527d53
1511eb1accb
hexacf3ce05

2901659141 has 2 divisors, whose sum is σ = 2901659142. Its totient is φ = 2901659140.

The previous prime is 2901659107. The next prime is 2901659147. The reversal of 2901659141 is 1419561092.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1955850625 + 945808516 = 44225^2 + 30754^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2901659141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2901659095 and 2901659104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2901659147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1450829570 + 1450829571.

It is an arithmetic number, because the mean of its divisors is an integer number (1450829571).

Almost surely, 22901659141 is an apocalyptic number.

It is an amenable number.

2901659141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2901659141 is an equidigital number, since it uses as much as digits as its factorization.

2901659141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 2901659141 is about 53867.0506060987. The cubic root of 2901659141 is about 1426.3150500832.

The spelling of 2901659141 in words is "two billion, nine hundred one million, six hundred fifty-nine thousand, one hundred forty-one".