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33213323 = 1113298009
BaseRepresentation
bin111111010110…
…0101110001011
32022111102010002
41332230232023
532000311243
63143513215
7552210563
oct176545613
968442102
1033213323
1117825730
12b15880b
136b5b770
1445a7da3
152db0eb8
hex1facb8b

33213323 has 16 divisors (see below), whose sum is σ = 40370400. Its totient is φ = 26906880.

The previous prime is 33213317. The next prime is 33213331. The reversal of 33213323 is 32331233.

It is not a de Polignac number, because 33213323 - 212 = 33209227 is a prime.

It is a super-3 number, since 3×332133233 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33213295 and 33213304.

It is not an unprimeable number, because it can be changed into a prime (33213373) 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, 143 + ... + 8151.

It is an arithmetic number, because the mean of its divisors is an integer number (2523150).

Almost surely, 233213323 is an apocalyptic number.

33213323 is a deficient number, since it is larger than the sum of its proper divisors (7157077).

33213323 is a wasteful number, since it uses less digits than its factorization.

33213323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062.

The product of its digits is 972, while the sum is 20.

The square root of 33213323 is about 5763.1001205948. The cubic root of 33213323 is about 321.4431014149.

Adding to 33213323 its reverse (32331233), we get a palindrome (65544556).

The spelling of 33213323 in words is "thirty-three million, two hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 11 13 29 143 319 377 4147 8009 88099 104117 232261 1145287 2554871 3019393 33213323