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41314223101 is a prime number
BaseRepresentation
bin100110011110100001…
…010000001111111101
310221122020222222200011
4212132201100033331
51134102420114401
630551323103221
72661543050014
oct463641201775
9127566888604
1041314223101
1116580890338
128010071b11
133b8542a378
141ddcd51a7b
15111c086451
hex99e8503fd

41314223101 has 2 divisors, whose sum is σ = 41314223102. Its totient is φ = 41314223100.

The previous prime is 41314223023. The next prime is 41314223129. The reversal of 41314223101 is 10132241314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21447602500 + 19866620601 = 146450^2 + 140949^2 .

It is a cyclic number.

It is not a de Polignac number, because 41314223101 - 221 = 41312125949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41314229101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20657111550 + 20657111551.

It is an arithmetic number, because the mean of its divisors is an integer number (20657111551).

Almost surely, 241314223101 is an apocalyptic number.

It is an amenable number.

41314223101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41314223101 is an equidigital number, since it uses as much as digits as its factorization.

41314223101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 41314223101 its reverse (10132241314), we get a palindrome (51446464415).

The spelling of 41314223101 in words is "forty-one billion, three hundred fourteen million, two hundred twenty-three thousand, one hundred one".