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3113222223113 is a prime number
BaseRepresentation
bin101101010011011010100…
…000010011010100001001
3102000121202210212010221222
4231103122200103110021
5402001334342114423
610342110004411425
7440631356163032
oct55233240232411
912017683763858
103113222223113
11aa03458687a2
124234439a6b75
131977637798b2
14aa97600ba89
1555eae6793c8
hex2d4da813509

3113222223113 has 2 divisors, whose sum is σ = 3113222223114. Its totient is φ = 3113222223112.

The previous prime is 3113222223091. The next prime is 3113222223151.

3113222223113 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2682791753929 + 430430469184 = 1637923^2 + 656072^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3113222223113 - 26 = 3113222223049 is a prime.

It is a super-2 number, since 2×31132222231132 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3113222223193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556611111556 + 1556611111557.

It is an arithmetic number, because the mean of its divisors is an integer number (1556611111557).

Almost surely, 23113222223113 is an apocalyptic number.

It is an amenable number.

3113222223113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3113222223113 is an equidigital number, since it uses as much as digits as its factorization.

3113222223113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 26.

The spelling of 3113222223113 in words is "three trillion, one hundred thirteen billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred thirteen".