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32213333133 = 3217229919409
BaseRepresentation
bin11110000000000100…
…000111010010001101
310002011000001212122100
4132000010013102031
51011433103130013
622444255305313
72220163546062
oct360004072215
9102130055570
1032213333133
111273064aa73
1262b021b239
133064ab4487
1417b8396c69
15c880cb473
hex78010748d

32213333133 has 24 divisors (see below), whose sum is σ = 49482646200. Its totient is φ = 20124002304.

The previous prime is 32213333129. The next prime is 32213333137. The reversal of 32213333133 is 33133331223.

32213333133 is a `hidden beast` number, since 322 + 1 + 3 + 3 + 331 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (32213333129) and next prime (32213333137).

It can be written as a sum of positive squares in 4 ways, for example, as 11747741769 + 20465591364 = 108387^2 + 143058^2 .

It is not a de Polignac number, because 32213333133 - 22 = 32213333129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32213333097 and 32213333106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32213333137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424668 + ... + 494741.

It is an arithmetic number, because the mean of its divisors is an integer number (2061776925).

Almost surely, 232213333133 is an apocalyptic number.

It is an amenable number.

32213333133 is a deficient number, since it is larger than the sum of its proper divisors (17269313067).

32213333133 is a wasteful number, since it uses less digits than its factorization.

32213333133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919661 (or 919658 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

Adding to 32213333133 its reverse (33133331223), we get a palindrome (65346664356).

The spelling of 32213333133 in words is "thirty-two billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 17 51 153 229 687 2061 3893 11679 35037 919409 2758227 8274681 15629953 46889859 140669577 210544661 631633983 1894901949 3579259237 10737777711 32213333133