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2223022123013 is a prime number
BaseRepresentation
bin100000010110010110011…
…100011010100000000101
321212112000020022120010012
4200112112130122200011
5242410222130414023
64421124155040005
7316415363162156
oct40262634324005
97775006276105
102223022123013
1178786204182a
122baa05740005
131318263ba233
147984837b92d
153cc5c681978
hex2059671a805

2223022123013 has 2 divisors, whose sum is σ = 2223022123014. Its totient is φ = 2223022123012.

The previous prime is 2223022122983. The next prime is 2223022123019. The reversal of 2223022123013 is 3103212203222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2206300271044 + 16721851969 = 1485362^2 + 129313^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223022123013 - 212 = 2223022118917 is a prime.

It is a super-4 number, since 4×22230221230134 (a number of 50 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2223022123013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223022123019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111511061506 + 1111511061507.

It is an arithmetic number, because the mean of its divisors is an integer number (1111511061507).

Almost surely, 22223022123013 is an apocalyptic number.

It is an amenable number.

2223022123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223022123013 is an equidigital number, since it uses as much as digits as its factorization.

2223022123013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2223022123013 its reverse (3103212203222), we get a palindrome (5326234326235).

The spelling of 2223022123013 in words is "two trillion, two hundred twenty-three billion, twenty-two million, one hundred twenty-three thousand, thirteen".