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4308081200461 is a prime number
BaseRepresentation
bin111110101100001101101…
…001100100110101001101
3120020211220120211020200001
4332230031221210311031
51031040422241403321
613055034415204301
7623151161001613
oct76541551446515
916224816736601
104308081200461
111411057587435
12596b27816691
13253333c2b05c
1410c7258456b3
15770e2d53c91
hex3eb0da64d4d

4308081200461 has 2 divisors, whose sum is σ = 4308081200462. Its totient is φ = 4308081200460.

The previous prime is 4308081200459. The next prime is 4308081200473. The reversal of 4308081200461 is 1640021808034.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4104599012361 + 203482188100 = 2025981^2 + 451090^2 .

It is a cyclic number.

It is not a de Polignac number, because 4308081200461 - 21 = 4308081200459 is a prime.

It is a super-3 number, since 3×43080812004613 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 4308081200459, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4308081200461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4308081201461) 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, 2154040600230 + 2154040600231.

It is an arithmetic number, because the mean of its divisors is an integer number (2154040600231).

Almost surely, 24308081200461 is an apocalyptic number.

It is an amenable number.

4308081200461 is a deficient number, since it is larger than the sum of its proper divisors (1).

4308081200461 is an equidigital number, since it uses as much as digits as its factorization.

4308081200461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 4308081200461 in words is "four trillion, three hundred eight billion, eighty-one million, two hundred thousand, four hundred sixty-one".