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37830210113 is a prime number
BaseRepresentation
bin100011001110110110…
…110011001001000001
310121122110012210100002
4203032312303021001
51104434013210423
625213504405345
72506316323523
oct431666631101
9117573183302
1037830210113
1115053192863
1273b9316855
13374b69a717
141b8c355a13
15eb6286228
hex8cedb3241

37830210113 has 2 divisors, whose sum is σ = 37830210114. Its totient is φ = 37830210112.

The previous prime is 37830210049. The next prime is 37830210127. The reversal of 37830210113 is 31101203873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32801556544 + 5028653569 = 181112^2 + 70913^2 .

It is a cyclic number.

It is not a de Polignac number, because 37830210113 - 26 = 37830210049 is a prime.

It is a super-2 number, since 2×378302101132 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37830210013) 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, 18915105056 + 18915105057.

It is an arithmetic number, because the mean of its divisors is an integer number (18915105057).

Almost surely, 237830210113 is an apocalyptic number.

It is an amenable number.

37830210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

37830210113 is an equidigital number, since it uses as much as digits as its factorization.

37830210113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 37830210113 its reverse (31101203873), we get a palindrome (68931413986).

The spelling of 37830210113 in words is "thirty-seven billion, eight hundred thirty million, two hundred ten thousand, one hundred thirteen".