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2123223413 is a prime number
BaseRepresentation
bin111111010001101…
…1101000101110101
312110222012220222012
41332203131011311
513322021122123
6550404014005
7103421046503
oct17643350565
95428186865
102123223413
1199a5601a3
124b3091305
1327ab5c51c
14161db3673
15c6603378
hex7e8dd175

2123223413 has 2 divisors, whose sum is σ = 2123223414. Its totient is φ = 2123223412.

The previous prime is 2123223391. The next prime is 2123223433. The reversal of 2123223413 is 3143223212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1563569764 + 559653649 = 39542^2 + 23657^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123223413 - 210 = 2123222389 is a prime.

It is a super-4 number, since 4×21232234134 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123223433) 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, 1061611706 + 1061611707.

It is an arithmetic number, because the mean of its divisors is an integer number (1061611707).

Almost surely, 22123223413 is an apocalyptic number.

It is an amenable number.

2123223413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123223413 is an equidigital number, since it uses as much as digits as its factorization.

2123223413 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2123223413 is about 46078.4484656330. The cubic root of 2123223413 is about 1285.2824126562.

Adding to 2123223413 its reverse (3143223212), we get a palindrome (5266446625).

The spelling of 2123223413 in words is "two billion, one hundred twenty-three million, two hundred twenty-three thousand, four hundred thirteen".