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133311311 = 7213611999
BaseRepresentation
bin1111111001000…
…10101101001111
3100021211220201222
413330202231033
5233111430221
621121153555
73206061500
oct774425517
9307756658
10133311311
1169283841
123878b8bb
1321807a43
14139c2ba7
15ba849ab
hex7f22b4f

133311311 has 12 divisors (see below), whose sum is σ = 155268000. Its totient is φ = 114125760.

The previous prime is 133311301. The next prime is 133311313. The reversal of 133311311 is 113113331.

It is a de Polignac number, because none of the positive numbers 2k-133311311 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133311311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133311313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65690 + ... + 67688.

It is an arithmetic number, because the mean of its divisors is an integer number (12939000).

Almost surely, 2133311311 is an apocalyptic number.

133311311 is a deficient number, since it is larger than the sum of its proper divisors (21956689).

133311311 is a wasteful number, since it uses less digits than its factorization.

133311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3367 counting only the distinct ones).

The product of its digits is 81, while the sum is 17.

The square root of 133311311 is about 11546.0517494077. The cubic root of 133311311 is about 510.8448268441.

Adding to 133311311 its reverse (113113331), we get a palindrome (246424642).

The spelling of 133311311 in words is "one hundred thirty-three million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 7 49 1361 1999 9527 13993 66689 97951 2720639 19044473 133311311