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102221122013 is a prime number
BaseRepresentation
bin101111100110011011…
…0101000100111011101
3100202211222002000211222
41133030312220213131
53133322101401023
6114543145223125
710246064125613
oct1371466504735
9322758060758
10102221122013
113a396181a2a
1217989791aa5
139840a2811a
144d3a0396b3
1529d4229cc8
hex17ccda89dd

102221122013 has 2 divisors, whose sum is σ = 102221122014. Its totient is φ = 102221122012.

The previous prime is 102221121991. The next prime is 102221122027. The reversal of 102221122013 is 310221122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69083288569 + 33137833444 = 262837^2 + 182038^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221122013 - 26 = 102221121949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221121982 and 102221122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221128013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110561006 + 51110561007.

It is an arithmetic number, because the mean of its divisors is an integer number (51110561007).

Almost surely, 2102221122013 is an apocalyptic number.

It is an amenable number.

102221122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221122013 is an equidigital number, since it uses as much as digits as its factorization.

102221122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102221122013 its reverse (310221122201), we get a palindrome (412442244214).

The spelling of 102221122013 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand, thirteen".