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33213131 = 722772447
BaseRepresentation
bin111111010110…
…0101011001011
32022111101211222
41332230223023
532000310011
63143512255
7552210200
oct176545313
968441758
1033213131
1117825576
12b15868b
136b5b653
1445a7ca7
152db0ddb
hex1facacb

33213131 has 12 divisors (see below), whose sum is σ = 38791008. Its totient is φ = 28354032.

The previous prime is 33213119. The next prime is 33213137. The reversal of 33213131 is 13131233.

It is not a de Polignac number, because 33213131 - 214 = 33196747 is a prime.

It is a super-2 number, since 2×332131312 = 2206224141646322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33213137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12350 + ... + 14796.

It is an arithmetic number, because the mean of its divisors is an integer number (3232584).

Almost surely, 233213131 is an apocalyptic number.

33213131 is a deficient number, since it is larger than the sum of its proper divisors (5577877).

33213131 is a wasteful number, since it uses less digits than its factorization.

33213131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2731 counting only the distinct ones).

The product of its digits is 162, while the sum is 17.

The square root of 33213131 is about 5763.0834628695. The cubic root of 33213131 is about 321.4424820129.

Adding to 33213131 its reverse (13131233), we get a palindrome (46344364).

The spelling of 33213131 in words is "thirty-three million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 7 49 277 1939 2447 13573 17129 119903 677819 4744733 33213131