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331212033 = 3236801337
BaseRepresentation
bin10011101111011…
…110010100000001
3212002020022111100
4103233132110001
51134242241113
652511005013
711131153515
oct2357362401
9762208440
10331212033
1115aa62559
1292b09769
1353808669
1431dba145
151e126d73
hex13bde501

331212033 has 6 divisors (see below), whose sum is σ = 478417394. Its totient is φ = 220808016.

The previous prime is 331212031. The next prime is 331212043. The reversal of 331212033 is 330212133.

It can be written as a sum of positive squares in only one way, i.e., 330948864 + 263169 = 18192^2 + 513^2 .

It is not a de Polignac number, because 331212033 - 21 = 331212031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331211997 and 331212015.

It is not an unprimeable number, because it can be changed into a prime (331212031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18400660 + ... + 18400677.

Almost surely, 2331212033 is an apocalyptic number.

It is an amenable number.

331212033 is a deficient number, since it is larger than the sum of its proper divisors (147205361).

331212033 is a wasteful number, since it uses less digits than its factorization.

331212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36801343 (or 36801340 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 331212033 is about 18199.2316596059. The cubic root of 331212033 is about 691.8873157033.

Adding to 331212033 its reverse (330212133), we get a palindrome (661424166).

The spelling of 331212033 in words is "three hundred thirty-one million, two hundred twelve thousand, thirty-three".

Divisors: 1 3 9 36801337 110404011 331212033