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223231012013 is a prime number
BaseRepresentation
bin1100111111100110011…
…0101110110010101101
3210100012100112100222202
43033321212232302231
512124134114341023
6250314555151245
722061605203002
oct3177146566255
9710170470882
10223231012013
11867430a5389
123731b745525
1318087203129
14ab395458a9
155c17bb7128
hex33f99aecad

223231012013 has 2 divisors, whose sum is σ = 223231012014. Its totient is φ = 223231012012.

The previous prime is 223231012009. The next prime is 223231012019. The reversal of 223231012013 is 310210132322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196176354724 + 27054657289 = 442918^2 + 164483^2 .

It is a cyclic number.

It is not a de Polignac number, because 223231012013 - 22 = 223231012009 is a prime.

It is a super-3 number, since 3×2232310120133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223231012019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111615506006 + 111615506007.

It is an arithmetic number, because the mean of its divisors is an integer number (111615506007).

Almost surely, 2223231012013 is an apocalyptic number.

It is an amenable number.

223231012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223231012013 is an equidigital number, since it uses as much as digits as its factorization.

223231012013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 223231012013 its reverse (310210132322), we get a palindrome (533441144335).

The spelling of 223231012013 in words is "two hundred twenty-three billion, two hundred thirty-one million, twelve thousand, thirteen".