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20133137 is a prime number
BaseRepresentation
bin100110011001…
…1010100010001
31101212212110202
41030303110101
520123230022
61555304545
7333062123
oct114632421
941785422
1020133137
1110401362
1268ab155
13422bbcb
142961213
151b7a592
hex1333511

20133137 has 2 divisors, whose sum is σ = 20133138. Its totient is φ = 20133136.

The previous prime is 20133131. The next prime is 20133149. The reversal of 20133137 is 73133102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17297281 + 2835856 = 4159^2 + 1684^2 .

It is a cyclic number.

It is not a de Polignac number, because 20133137 - 28 = 20132881 is a prime.

It is not a weakly prime, because it can be changed into another prime (20133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10066568 + 10066569.

It is an arithmetic number, because the mean of its divisors is an integer number (10066569).

Almost surely, 220133137 is an apocalyptic number.

It is an amenable number.

20133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20133137 is an equidigital number, since it uses as much as digits as its factorization.

20133137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 20133137 is about 4486.9964341417. The cubic root of 20133137 is about 272.0427457690.

Adding to 20133137 its reverse (73133102), we get a palindrome (93266239).

The spelling of 20133137 in words is "twenty million, one hundred thirty-three thousand, one hundred thirty-seven".