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37830303013 is a prime number
BaseRepresentation
bin100011001110110111…
…001001110100100101
310121122110101111202211
4203032313021310211
51104434024144023
625213510403421
72506320161416
oct431667116445
9117573344684
1037830303013
1115053246638
1273b9360571
13374b700aa9
141b8c37b80d
15eb62a3a0d
hex8cedc9d25

37830303013 has 2 divisors, whose sum is σ = 37830303014. Its totient is φ = 37830303012.

The previous prime is 37830302987. The next prime is 37830303023. The reversal of 37830303013 is 31030303873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22915298884 + 14915004129 = 151378^2 + 122127^2 .

It is a cyclic number.

It is not a de Polignac number, because 37830303013 - 25 = 37830302981 is a prime.

It is a super-2 number, since 2×378303030132 (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 (37830303023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18915151506 + 18915151507.

It is an arithmetic number, because the mean of its divisors is an integer number (18915151507).

Almost surely, 237830303013 is an apocalyptic number.

It is an amenable number.

37830303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

37830303013 is an equidigital number, since it uses as much as digits as its factorization.

37830303013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 31.

Adding to 37830303013 its reverse (31030303873), we get a palindrome (68860606886).

The spelling of 37830303013 in words is "thirty-seven billion, eight hundred thirty million, three hundred three thousand, thirteen".