Search a number
-
+
33130031 = 1183131277
BaseRepresentation
bin111111001100…
…0011000101111
32022100011212012
41332120120233
531440130111
63142031435
7551413004
oct176303057
968304765
1033130031
11177790a0
12b11857b
136b2c88c
1445858ab
152d9648b
hex1f9862f

33130031 has 16 divisors (see below), whose sum is σ = 36989568. Its totient is φ = 29421600.

The previous prime is 33130003. The next prime is 33130039. The reversal of 33130031 is 13003133.

It is a cyclic number.

It is not a de Polignac number, because 33130031 - 210 = 33129007 is a prime.

It is a super-2 number, since 2×331300312 = 2195197908121922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33129988 and 33130015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119465 + ... + 119741.

It is an arithmetic number, because the mean of its divisors is an integer number (2311848).

Almost surely, 233130031 is an apocalyptic number.

33130031 is a deficient number, since it is larger than the sum of its proper divisors (3859537).

33130031 is a wasteful number, since it uses less digits than its factorization.

33130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 33130031 is about 5755.8692653673. The cubic root of 33130031 is about 321.1741726789.

Adding to 33130031 its reverse (13003133), we get a palindrome (46133164).

The spelling of 33130031 in words is "thirty-three million, one hundred thirty thousand, thirty-one".

Divisors: 1 11 83 131 277 913 1441 3047 10873 22991 36287 119603 252901 399157 3011821 33130031