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13956958201 is a prime number
BaseRepresentation
bin11001111111110011…
…00100011111111001
31100000200110221022211
430333321210133321
5212040440130301
610224534015121
71002603121144
oct147771443771
940020427284
1013956958201
115a123802aa
1228561a74a1
13141571b964
149658b105b
1556a480051
hex33fe647f9

13956958201 has 2 divisors, whose sum is σ = 13956958202. Its totient is φ = 13956958200.

The previous prime is 13956958181. The next prime is 13956958217. The reversal of 13956958201 is 10285965931.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8149756176 + 5807202025 = 90276^2 + 76205^2 .

It is an emirp because it is prime and its reverse (10285965931) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13956958201 - 27 = 13956958073 is a prime.

It is a super-2 number, since 2×139569582012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13956958241) 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, 6978479100 + 6978479101.

It is an arithmetic number, because the mean of its divisors is an integer number (6978479101).

Almost surely, 213956958201 is an apocalyptic number.

It is an amenable number.

13956958201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13956958201 is an equidigital number, since it uses as much as digits as its factorization.

13956958201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 583200, while the sum is 49.

It can be divided in two parts, 1395 and 6958201, that added together give a palindrome (6959596).

The spelling of 13956958201 in words is "thirteen billion, nine hundred fifty-six million, nine hundred fifty-eight thousand, two hundred one".