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221300131201 is a prime number
BaseRepresentation
bin1100111000011010000…
…1000000010110000001
3210011012210020110110121
43032012201000112001
512111210313144301
6245355221500241
721663011035612
oct3160641002601
9704183213417
10221300131201
1185942178016
1236a80b71681
1317b3a1796c6
14a9d4d1dc09
155b534093a1
hex3386840581

221300131201 has 2 divisors, whose sum is σ = 221300131202. Its totient is φ = 221300131200.

The previous prime is 221300131177. The next prime is 221300131223. The reversal of 221300131201 is 102131003122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216784291201 + 4515840000 = 465601^2 + 67200^2 .

It is a cyclic number.

It is not a de Polignac number, because 221300131201 - 233 = 212710196609 is a prime.

It is not a weakly prime, because it can be changed into another prime (221300131291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110650065600 + 110650065601.

It is an arithmetic number, because the mean of its divisors is an integer number (110650065601).

Almost surely, 2221300131201 is an apocalyptic number.

It is an amenable number.

221300131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221300131201 is an equidigital number, since it uses as much as digits as its factorization.

221300131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 221300131201 its reverse (102131003122), we get a palindrome (323431134323).

The spelling of 221300131201 in words is "two hundred twenty-one billion, three hundred million, one hundred thirty-one thousand, two hundred one".