Search a number
-
+
3201221133 = 321122939597
BaseRepresentation
bin1011111011001110…
…1100001000001101
322021002122212211200
42332303230020031
523024003034013
61245353140113
7142220634135
oct27663541015
98232585750
103201221133
1113a3007900
127540ba639
133c02a85b6
14225225ac5
1513b08ee73
hexbecec20d

3201221133 has 18 divisors (see below), whose sum is σ = 5082564942. Its totient is φ = 1940133360.

The previous prime is 3201221131. The next prime is 3201221197. The reversal of 3201221133 is 3311221023.

It can be written as a sum of positive squares in only one way, i.e., 2168112969 + 1033108164 = 46563^2 + 32142^2 .

It is not a de Polignac number, because 3201221133 - 21 = 3201221131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1468710 + ... + 1470887.

It is an arithmetic number, because the mean of its divisors is an integer number (282364719).

Almost surely, 23201221133 is an apocalyptic number.

3201221133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3201221133 is a deficient number, since it is larger than the sum of its proper divisors (1881343809).

3201221133 is a wasteful number, since it uses less digits than its factorization.

3201221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939625 (or 2939611 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3201221133 is about 56579.3348582325. The cubic root of 3201221133 is about 1473.8000211361.

Adding to 3201221133 its reverse (3311221023), we get a palindrome (6512442156).

The spelling of 3201221133 in words is "three billion, two hundred one million, two hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 2939597 8818791 26456373 32335567 97006701 291020103 355691237 1067073711 3201221133