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3221131331 = 111134395903
BaseRepresentation
bin1011111111111110…
…1001000001000011
322022111010102111102
42333333221001003
523044102200311
61251344005015
7142552110305
oct27777510103
98274112442
103221131331
111403276710
1275a90076b
133c4459b92
14227b29975
1513cbc443b
hexbffe9043

3221131331 has 16 divisors (see below), whose sum is σ = 3553735680. Its totient is φ = 2895285120.

The previous prime is 3221131307. The next prime is 3221131363. The reversal of 3221131331 is 1331311223.

It is a cyclic number.

It is not a de Polignac number, because 3221131331 - 210 = 3221130307 is a prime.

It is a super-2 number, since 2×32211313312 = 20751374103099663122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3221131391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542726 + ... + 548628.

It is an arithmetic number, because the mean of its divisors is an integer number (222108480).

Almost surely, 23221131331 is an apocalyptic number.

3221131331 is a deficient number, since it is larger than the sum of its proper divisors (332604349).

3221131331 is a wasteful number, since it uses less digits than its factorization.

3221131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466.

The product of its digits is 324, while the sum is 20.

The square root of 3221131331 is about 56755.0115055931. The cubic root of 3221131331 is about 1476.8491726373.

Adding to 3221131331 its reverse (1331311223), we get a palindrome (4552442554).

It can be divided in two parts, 322113 and 1331, that multiplied together give a triangular number (428732403 = T29282).

The spelling of 3221131331 in words is "three billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 11 113 439 1243 4829 5903 49607 64933 545677 667039 2591417 7337429 28505587 292830121 3221131331