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133717331 = 1123528527
BaseRepresentation
bin1111111100001…
…01110101010011
3100022121112200202
413332011311103
5233212423311
621134005415
73212402306
oct776056523
9308545622
10133717331
11695308a0
123894686b
132191a7a7
1413a8ab3d
15bb14e3b
hex7f85d53

133717331 has 8 divisors (see below), whose sum is σ = 152216064. Its totient is φ = 116275720.

The previous prime is 133717321. The next prime is 133717361.

133717331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133717331 - 222 = 129523027 is a prime.

It is a super-2 number, since 2×1337173312 = 35760649219527122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133717294 and 133717303.

It is not an unprimeable number, because it can be changed into a prime (133717321) 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 7 ways as a sum of consecutive naturals, for example, 264011 + ... + 264516.

It is an arithmetic number, because the mean of its divisors is an integer number (19027008).

Almost surely, 2133717331 is an apocalyptic number.

133717331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133717331 is a deficient number, since it is larger than the sum of its proper divisors (18498733).

133717331 is a wasteful number, since it uses less digits than its factorization.

133717331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528561.

The product of its digits is 3969, while the sum is 29.

The square root of 133717331 is about 11563.6210159275. The cubic root of 133717331 is about 511.3629199227.

It can be divided in two parts, 13371 and 7331, that added together give a palindrome (20702).

The spelling of 133717331 in words is "one hundred thirty-three million, seven hundred seventeen thousand, three hundred thirty-one".

Divisors: 1 11 23 253 528527 5813797 12156121 133717331