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2213120113079 is a prime number
BaseRepresentation
bin100000001101001000001…
…111001111100110110111
321211120110010221100002112
4200031020033033212313
5242224432222104304
64412405432401235
7315615115401431
oct40151017174667
97746403840075
102213120113079
11783640676147
122b8b0154621b
13130908abb765
1479189245651
153c87d1ccb6e
hex203483cf9b7

2213120113079 has 2 divisors, whose sum is σ = 2213120113080. Its totient is φ = 2213120113078.

The previous prime is 2213120112979. The next prime is 2213120113081. The reversal of 2213120113079 is 9703110213122.

2213120113079 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2213120113079 - 232 = 2208825145783 is a prime.

It is a super-3 number, since 3×22131201130793 (a number of 38 digits) contains 333 as substring.

Together with 2213120113081, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213120143079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106560056539 + 1106560056540.

It is an arithmetic number, because the mean of its divisors is an integer number (1106560056540).

Almost surely, 22213120113079 is an apocalyptic number.

2213120113079 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213120113079 is an equidigital number, since it uses as much as digits as its factorization.

2213120113079 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 2213120113079 in words is "two trillion, two hundred thirteen billion, one hundred twenty million, one hundred thirteen thousand, seventy-nine".