Search a number
-
+
33112003221 = 32111024332653
BaseRepresentation
bin11110110101101000…
…010001001010010101
310011110122002001020200
4132311220101022111
51020303133100341
623113401051113
72251355245353
oct366550211225
9104418061220
1033112003221
1113051954120
126501186a99
13317903371b
1418618887d3
15cdbe43db6
hex7b5a11295

33112003221 has 24 divisors (see below), whose sum is σ = 52183181856. Its totient is φ = 20065307040.

The previous prime is 33112003213. The next prime is 33112003297. The reversal of 33112003221 is 12230021133.

33112003221 is a `hidden beast` number, since 331 + 12 + 0 + 0 + 322 + 1 = 666.

It is not a de Polignac number, because 33112003221 - 23 = 33112003213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33112003194 and 33112003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33112003021) 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 23 ways as a sum of consecutive naturals, for example, 997731 + ... + 1030383.

It is an arithmetic number, because the mean of its divisors is an integer number (2174299244).

Almost surely, 233112003221 is an apocalyptic number.

It is an amenable number.

33112003221 is a deficient number, since it is larger than the sum of its proper divisors (19071178635).

33112003221 is a wasteful number, since it uses less digits than its factorization.

33112003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42913 (or 42910 counting only the distinct ones).

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

Adding to 33112003221 its reverse (12230021133), we get a palindrome (45342024354).

The spelling of 33112003221 in words is "thirty-three billion, one hundred twelve million, three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 10243 30729 32653 92187 97959 112673 293877 338019 359183 1014057 1077549 3232647 334464679 1003394037 3010182111 3679111469 11037334407 33112003221