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2231311993 is a prime number
BaseRepresentation
bin1000010011111111…
…0001111001111001
312202111121101121221
42010333301321321
514032203440433
61005224432041
7106202560531
oct20477617171
95674541557
102231311993
11a455767a9
12523318621
13297375871
141724ac4c1
15d0d5472d
hex84ff1e79

2231311993 has 2 divisors, whose sum is σ = 2231311994. Its totient is φ = 2231311992.

The previous prime is 2231311967. The next prime is 2231312009. The reversal of 2231311993 is 3991131322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1301549929 + 929762064 = 36077^2 + 30492^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231311993 - 217 = 2231180921 is a prime.

It is a super-3 number, since 3×22313119933 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2231311913) 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, 1115655996 + 1115655997.

It is an arithmetic number, because the mean of its divisors is an integer number (1115655997).

Almost surely, 22231311993 is an apocalyptic number.

It is an amenable number.

2231311993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231311993 is an equidigital number, since it uses as much as digits as its factorization.

2231311993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 34.

The square root of 2231311993 is about 47236.7652681680. The cubic root of 2231311993 is about 1306.7327223985.

The spelling of 2231311993 in words is "two billion, two hundred thirty-one million, three hundred eleven thousand, nine hundred ninety-three".