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37830308381 is a prime number
BaseRepresentation
bin100011001110110111…
…001011001000011101
310121122110101210010122
4203032313023020131
51104434024332011
625213510444325
72506320213155
oct431667131035
9117573353118
1037830308381
111505324a678
1273b93636a5
13374b703378
141b8c37d765
15eb62a53db
hex8cedcb21d

37830308381 has 2 divisors, whose sum is σ = 37830308382. Its totient is φ = 37830308380.

The previous prime is 37830308323. The next prime is 37830308387. The reversal of 37830308381 is 18380303873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36712476025 + 1117832356 = 191605^2 + 33434^2 .

It is an emirp because it is prime and its reverse (18380303873) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37830308381 - 214 = 37830291997 is a prime.

It is a super-2 number, since 2×378303083812 (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 (37830308387) 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, 18915154190 + 18915154191.

It is an arithmetic number, because the mean of its divisors is an integer number (18915154191).

Almost surely, 237830308381 is an apocalyptic number.

It is an amenable number.

37830308381 is a deficient number, since it is larger than the sum of its proper divisors (1).

37830308381 is an equidigital number, since it uses as much as digits as its factorization.

37830308381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 37830308381 in words is "thirty-seven billion, eight hundred thirty million, three hundred eight thousand, three hundred eighty-one".