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33738113 is a prime number
BaseRepresentation
bin1000000010110…
…0110110000001
32100111001222202
42000230312001
532114104423
63203042545
7556524563
oct200546601
970431882
1033738113
1118053a42
12b370455
136cb35a6
1446a3333
152e66728
hex202cd81

33738113 has 2 divisors, whose sum is σ = 33738114. Its totient is φ = 33738112.

The previous prime is 33738109. The next prime is 33738119. The reversal of 33738113 is 31183733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33500944 + 237169 = 5788^2 + 487^2 .

It is a cyclic number.

It is not a de Polignac number, because 33738113 - 22 = 33738109 is a prime.

It is a super-2 number, since 2×337381132 = 2276520537601538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33738119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16869056 + 16869057.

It is an arithmetic number, because the mean of its divisors is an integer number (16869057).

Almost surely, 233738113 is an apocalyptic number.

It is an amenable number.

33738113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33738113 is an equidigital number, since it uses as much as digits as its factorization.

33738113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 29.

The square root of 33738113 is about 5808.4518591446. The cubic root of 33738113 is about 323.1272586568.

The spelling of 33738113 in words is "thirty-three million, seven hundred thirty-eight thousand, one hundred thirteen".