Search a number
-
+
133105121 = 1759132707
BaseRepresentation
bin1111110111100…
…00010111100001
3100021110102220022
413323300113201
5233033330441
621112523225
73204242402
oct773602741
9307412808
10133105121
1169152936
12386b0515
1321764c36
141396b9a9
15ba4384b
hex7ef05e1

133105121 has 8 divisors (see below), whose sum is σ = 143324640. Its totient is φ = 123151168.

The previous prime is 133105097. The next prime is 133105129. The reversal of 133105121 is 121501331.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133105121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 133105121.

It is not an unprimeable number, because it can be changed into a prime (133105129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65351 + ... + 67356.

It is an arithmetic number, because the mean of its divisors is an integer number (17915580).

Almost surely, 2133105121 is an apocalyptic number.

It is an amenable number.

133105121 is a deficient number, since it is larger than the sum of its proper divisors (10219519).

133105121 is a wasteful number, since it uses less digits than its factorization.

133105121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132783.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 133105121 is about 11537.1192678242. The cubic root of 133105121 is about 510.5813197061.

Adding to 133105121 its reverse (121501331), we get a palindrome (254606452).

The spelling of 133105121 in words is "one hundred thirty-three million, one hundred five thousand, one hundred twenty-one".

Divisors: 1 17 59 1003 132707 2256019 7829713 133105121