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13822186801 is a prime number
BaseRepresentation
bin11001101111101110…
…11101010100110001
31022200021212211201111
430313313131110301
5211301434434201
610203321233321
7666345435463
oct146767352461
938607784644
1013822186801
11595329a585
122819032841
1313c3822477
14951a2c133
1555d70cb51
hex337ddd531

13822186801 has 2 divisors, whose sum is σ = 13822186802. Its totient is φ = 13822186800.

The previous prime is 13822186771. The next prime is 13822186853. The reversal of 13822186801 is 10868122831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10004800576 + 3817386225 = 100024^2 + 61785^2 .

It is a cyclic number.

It is not a de Polignac number, because 13822186801 - 25 = 13822186769 is a prime.

It is a super-2 number, since 2×138221868012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13822186891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6911093400 + 6911093401.

It is an arithmetic number, because the mean of its divisors is an integer number (6911093401).

Almost surely, 213822186801 is an apocalyptic number.

It is an amenable number.

13822186801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13822186801 is an equidigital number, since it uses as much as digits as its factorization.

13822186801 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 40.

The spelling of 13822186801 in words is "thirteen billion, eight hundred twenty-two million, one hundred eighty-six thousand, eight hundred one".