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42200352013 is a prime number
BaseRepresentation
bin100111010011010101…
…100100010100001101
311000221000102000000111
4213103111210110031
51142411242231023
631215300000021
73022523034151
oct472325442415
9130830360014
1042200352013
1116995aa9086
128218990011
133c96ba81c1
1420848db061
15116ec7300d
hex9d356450d

42200352013 has 2 divisors, whose sum is σ = 42200352014. Its totient is φ = 42200352012.

The previous prime is 42200351969. The next prime is 42200352041. The reversal of 42200352013 is 31025300224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40798748169 + 1401603844 = 201987^2 + 37438^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42200352013 is a prime.

It is a super-2 number, since 2×422003520132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42200352043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21100176006 + 21100176007.

It is an arithmetic number, because the mean of its divisors is an integer number (21100176007).

Almost surely, 242200352013 is an apocalyptic number.

It is an amenable number.

42200352013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42200352013 is an equidigital number, since it uses as much as digits as its factorization.

42200352013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 42200352013 its reverse (31025300224), we get a palindrome (73225652237).

The spelling of 42200352013 in words is "forty-two billion, two hundred million, three hundred fifty-two thousand, thirteen".