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37064122201 is a prime number
BaseRepresentation
bin100010100001001100…
…011001111101011001
310112200001200111021201
4202201030121331121
51101401403402301
625005500434201
72451324561211
oct424114317531
9115601614251
1037064122201
111479a804657
127224848961
133658a5c372
141b186d7241
15e6ddac201
hex8a1319f59

37064122201 has 2 divisors, whose sum is σ = 37064122202. Its totient is φ = 37064122200.

The previous prime is 37064122189. The next prime is 37064122219. The reversal of 37064122201 is 10222146073.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21244520025 + 15819602176 = 145755^2 + 125776^2 .

It is an emirp because it is prime and its reverse (10222146073) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37064122201 - 211 = 37064120153 is a prime.

It is a super-2 number, since 2×370641222012 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37064122201.

It is not a weakly prime, because it can be changed into another prime (37064122801) 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, 18532061100 + 18532061101.

It is an arithmetic number, because the mean of its divisors is an integer number (18532061101).

Almost surely, 237064122201 is an apocalyptic number.

It is an amenable number.

37064122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

37064122201 is an equidigital number, since it uses as much as digits as its factorization.

37064122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 37064122201 its reverse (10222146073), we get a palindrome (47286268274).

The spelling of 37064122201 in words is "thirty-seven billion, sixty-four million, one hundred twenty-two thousand, two hundred one".