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101286037 is a prime number
BaseRepresentation
bin1100000100110…
…00000010010101
321001120212022201
412002120002111
5201412123122
614014524501
72336626366
oct602300225
9231525281
10101286037
115219a776
1229b06731
1317ca3c88
14d647b6d
158d5aa27
hex6098095

101286037 has 2 divisors, whose sum is σ = 101286038. Its totient is φ = 101286036.

The previous prime is 101286023. The next prime is 101286041. The reversal of 101286037 is 730682101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80982001 + 20304036 = 8999^2 + 4506^2 .

It is a cyclic number.

It is not a de Polignac number, because 101286037 - 223 = 92897429 is a prime.

It is a super-2 number, since 2×1012860372 = 20517722582330738, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101285996 and 101286014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101286007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50643018 + 50643019.

It is an arithmetic number, because the mean of its divisors is an integer number (50643019).

Almost surely, 2101286037 is an apocalyptic number.

It is an amenable number.

101286037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101286037 is an equidigital number, since it uses as much as digits as its factorization.

101286037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 101286037 is about 10064.0964323679. The cubic root of 101286037 is about 466.1401657971.

The spelling of 101286037 in words is "one hundred one million, two hundred eighty-six thousand, thirty-seven".