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10137331 is a prime number
BaseRepresentation
bin100110101010…
…111011110011
3201002000210201
4212222323303
510043343311
61001140031
7152110621
oct46527363
921060721
1010137331
1157a4366
12348a617
13213c229
1414bc511
15d539c1
hex9aaef3

10137331 has 2 divisors, whose sum is σ = 10137332. Its totient is φ = 10137330.

The previous prime is 10137329. The next prime is 10137349. The reversal of 10137331 is 13373101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10137331 - 21 = 10137329 is a prime.

It is a super-2 number, since 2×101373312 = 205530959607122, which contains 22 as substring.

Together with 10137329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10137299 and 10137308.

It is not a weakly prime, because it can be changed into another prime (10137311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068665 + 5068666.

It is an arithmetic number, because the mean of its divisors is an integer number (5068666).

Almost surely, 210137331 is an apocalyptic number.

10137331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137331 is an equidigital number, since it uses as much as digits as its factorization.

10137331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 10137331 is about 3183.9175554653. The cubic root of 10137331 is about 216.4252240133.

The spelling of 10137331 in words is "ten million, one hundred thirty-seven thousand, three hundred thirty-one".