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181938313 is a prime number
BaseRepresentation
bin10101101100000…
…10100010001001
3110200100102110001
422312002202021
5333034011223
630015323001
74336310254
oct1266024211
9420312401
10181938313
1193776a47
1250b20461
132b90220b
141a24009b
1510e8c9ad
hexad82889

181938313 has 2 divisors, whose sum is σ = 181938314. Its totient is φ = 181938312.

The previous prime is 181938307. The next prime is 181938377. The reversal of 181938313 is 313839181.

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., 174583369 + 7354944 = 13213^2 + 2712^2 .

It is an emirp because it is prime and its reverse (313839181) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 181938313 - 29 = 181937801 is a prime.

It is not a weakly prime, because it can be changed into another prime (181938013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90969156 + 90969157.

It is an arithmetic number, because the mean of its divisors is an integer number (90969157).

Almost surely, 2181938313 is an apocalyptic number.

It is an amenable number.

181938313 is a deficient number, since it is larger than the sum of its proper divisors (1).

181938313 is an equidigital number, since it uses as much as digits as its factorization.

181938313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 37.

The square root of 181938313 is about 13488.4510971423. The cubic root of 181938313 is about 566.6410773143.

The spelling of 181938313 in words is "one hundred eighty-one million, nine hundred thirty-eight thousand, three hundred thirteen".