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101303013221 is a prime number
BaseRepresentation
bin101111001011000100…
…0010100111101100101
3100200110222111021100122
41132112020110331211
53124432032410341
6114312111051325
710214245255604
oct1362610247545
9320428437318
10101303013221
1139a64a01233
1217772210b45
139725761097
144c90127a3b
15297d82294b
hex1796214f65

101303013221 has 2 divisors, whose sum is σ = 101303013222. Its totient is φ = 101303013220.

The previous prime is 101303013211. The next prime is 101303013223. The reversal of 101303013221 is 122310303101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77220628996 + 24082384225 = 277886^2 + 155185^2 .

It is a cyclic number.

It is not a de Polignac number, because 101303013221 - 222 = 101298818917 is a prime.

Together with 101303013223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101303013221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101303013223) 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, 50651506610 + 50651506611.

It is an arithmetic number, because the mean of its divisors is an integer number (50651506611).

Almost surely, 2101303013221 is an apocalyptic number.

It is an amenable number.

101303013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101303013221 is an equidigital number, since it uses as much as digits as its factorization.

101303013221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101303013221 its reverse (122310303101), we get a palindrome (223613316322).

The spelling of 101303013221 in words is "one hundred one billion, three hundred three million, thirteen thousand, two hundred twenty-one".