Search a number
-
+
133931831 = 11172924697
BaseRepresentation
bin1111111101110…
…10001100110111
3100100000102221012
413332322030313
5233241304311
621142342435
73214254545
oct776721467
9310012835
10133931831
1169667a70
1238a2aa1b
1321994307
1413b04d95
15bb5878b
hex7fba337

133931831 has 16 divisors (see below), whose sum is σ = 160043040. Its totient is φ = 110638080.

The previous prime is 133931821. The next prime is 133931849. The reversal of 133931831 is 138139331.

It is a cyclic number.

It is not a de Polignac number, because 133931831 - 218 = 133669687 is a prime.

It is a super-2 number, since 2×1339318312 = 35875470710025122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133931801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6926 + ... + 17771.

It is an arithmetic number, because the mean of its divisors is an integer number (10002690).

Almost surely, 2133931831 is an apocalyptic number.

133931831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133931831 is a deficient number, since it is larger than the sum of its proper divisors (26111209).

133931831 is a wasteful number, since it uses less digits than its factorization.

133931831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24754.

The product of its digits is 5832, while the sum is 32.

The square root of 133931831 is about 11572.8920758815. The cubic root of 133931831 is about 511.6362047363.

The spelling of 133931831 in words is "one hundred thirty-three million, nine hundred thirty-one thousand, eight hundred thirty-one".

Divisors: 1 11 17 29 187 319 493 5423 24697 271667 419849 716213 4618339 7878343 12175621 133931831