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202111103113 is a prime number
BaseRepresentation
bin1011110000111011000…
…0101011000010001001
3201022200110200211112121
42330032300223002021
511302410420244423
6232503142211241
720413334013403
oct2741660530211
9638613624477
10202111103113
11787954a3217
1233206723b21
131609c7c6a0a
149ad461bb73
1553cd98145d
hex2f0ec2b089

202111103113 has 2 divisors, whose sum is σ = 202111103114. Its totient is φ = 202111103112.

The previous prime is 202111103039. The next prime is 202111103303. The reversal of 202111103113 is 311301111202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186565252624 + 15545850489 = 431932^2 + 124683^2 .

It is a cyclic number.

It is not a de Polignac number, because 202111103113 - 221 = 202109005961 is a prime.

It is a super-3 number, since 3×2021111031133 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (202111703113) 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, 101055551556 + 101055551557.

It is an arithmetic number, because the mean of its divisors is an integer number (101055551557).

Almost surely, 2202111103113 is an apocalyptic number.

It is an amenable number.

202111103113 is a deficient number, since it is larger than the sum of its proper divisors (1).

202111103113 is an equidigital number, since it uses as much as digits as its factorization.

202111103113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 202111103113 its reverse (311301111202), we get a palindrome (513412214315).

The spelling of 202111103113 in words is "two hundred two billion, one hundred eleven million, one hundred three thousand, one hundred thirteen".