Search a number
-
+
33131331331 = 721739773507
BaseRepresentation
bin11110110110110001…
…111111111100000011
310011111222110000102121
4132312301333330003
51020323110100311
623115331225111
72252011445500
oct366661777403
9104458400377
1033131331331
111306185566a
126507748197
133180040087
14186427a4a7
15cdd9b0b71
hex7b6c7ff03

33131331331 has 12 divisors (see below), whose sum is σ = 40807619208. Its totient is φ = 26727796032.

The previous prime is 33131331217. The next prime is 33131331371. The reversal of 33131331331 is 13313313133.

It is not a de Polignac number, because 33131331331 - 29 = 33131330819 is a prime.

It is a super-2 number, since 2×331313313312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33131331296 and 33131331305.

It is not an unprimeable number, because it can be changed into a prime (33131331371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19885921 + ... + 19887586.

It is an arithmetic number, because the mean of its divisors is an integer number (3400634934).

Almost surely, 233131331331 is an apocalyptic number.

33131331331 is a deficient number, since it is larger than the sum of its proper divisors (7676287877).

33131331331 is a wasteful number, since it uses less digits than its factorization.

33131331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39773538 (or 39773531 counting only the distinct ones).

The product of its digits is 2187, while the sum is 25.

Adding to 33131331331 its reverse (13313313133), we get a palindrome (46444644464).

The spelling of 33131331331 in words is "thirty-three billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 17 49 119 833 39773507 278414549 676149619 1948901843 4733047333 33131331331