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31300400213 is a prime number
BaseRepresentation
bin11101001001101001…
…100011010001010101
32222210101020002002222
4131021221203101111
51003100400301323
622213524112125
72155440004055
oct351151432125
988711202088
1031300400213
1112302294a55
126096535645
132c4a910294
14172d031565
15c32d979c8
hex749a63455

31300400213 has 2 divisors, whose sum is σ = 31300400214. Its totient is φ = 31300400212.

The previous prime is 31300400189. The next prime is 31300400227. The reversal of 31300400213 is 31200400313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26392276849 + 4908123364 = 162457^2 + 70058^2 .

It is a cyclic number.

It is not a de Polignac number, because 31300400213 - 28 = 31300399957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31300400191 and 31300400200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31300402213) 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, 15650200106 + 15650200107.

It is an arithmetic number, because the mean of its divisors is an integer number (15650200107).

Almost surely, 231300400213 is an apocalyptic number.

It is an amenable number.

31300400213 is a deficient number, since it is larger than the sum of its proper divisors (1).

31300400213 is an equidigital number, since it uses as much as digits as its factorization.

31300400213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 31300400213 its reverse (31200400313), we get a palindrome (62500800526).

The spelling of 31300400213 in words is "thirty-one billion, three hundred million, four hundred thousand, two hundred thirteen".