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214112137 is a prime number
BaseRepresentation
bin11001100001100…
…01011110001001
3112220220000122011
430300301132021
5414303042022
633125055521
75206631431
oct1460613611
9486800564
10214112137
11aa951688
125b8575a1
1335488795
14206172c1
1513be5977
hexcc31789

214112137 has 2 divisors, whose sum is σ = 214112138. Its totient is φ = 214112136.

The previous prime is 214112131. The next prime is 214112141. The reversal of 214112137 is 731211412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108659776 + 105452361 = 10424^2 + 10269^2 .

It is a cyclic number.

It is not a de Polignac number, because 214112137 - 219 = 213587849 is a prime.

It is not a weakly prime, because it can be changed into another prime (214112131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107056068 + 107056069.

It is an arithmetic number, because the mean of its divisors is an integer number (107056069).

Almost surely, 2214112137 is an apocalyptic number.

It is an amenable number.

214112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

214112137 is an equidigital number, since it uses as much as digits as its factorization.

214112137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 22.

The square root of 214112137 is about 14632.5711001177. The cubic root of 214112137 is about 598.2468612001.

Adding to 214112137 its reverse (731211412), we get a palindrome (945323549).

The spelling of 214112137 in words is "two hundred fourteen million, one hundred twelve thousand, one hundred thirty-seven".