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37830222401 is a prime number
BaseRepresentation
bin100011001110110110…
…110110001001000001
310121122110020102012012
4203032312312021001
51104434014104101
625213504542305
72506316404406
oct431666661101
9117573212165
1037830222401
11150531a1014
1273b9321995
13374b6a31aa
141b8c35a2ad
15eb6289bbb
hex8cedb6241

37830222401 has 2 divisors, whose sum is σ = 37830222402. Its totient is φ = 37830222400.

The previous prime is 37830222379. The next prime is 37830222427. The reversal of 37830222401 is 10422203873.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37566192400 + 264030001 = 193820^2 + 16249^2 .

It is a cyclic number.

It is not a de Polignac number, because 37830222401 - 214 = 37830206017 is a prime.

It is a super-2 number, since 2×378302224012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37830222481) 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, 18915111200 + 18915111201.

It is an arithmetic number, because the mean of its divisors is an integer number (18915111201).

Almost surely, 237830222401 is an apocalyptic number.

It is an amenable number.

37830222401 is a deficient number, since it is larger than the sum of its proper divisors (1).

37830222401 is an equidigital number, since it uses as much as digits as its factorization.

37830222401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 37830222401 in words is "thirty-seven billion, eight hundred thirty million, two hundred twenty-two thousand, four hundred one".