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33130310022 = 23217412640707
BaseRepresentation
bin11110110110101110…
…000110100110000110
310011111220112010110100
4132312232012212012
51020322324410042
623115253304530
72251666663065
oct366656064606
9104456463410
1033130310022
1113061218307
126507335146
13317ca73254
1418640921dc
15cdd85d24c
hex7b6b86986

33130310022 has 48 divisors (see below), whose sum is σ = 77858634672. Its totient is φ = 10140311040.

The previous prime is 33130310021. The next prime is 33130310029. The reversal of 33130310022 is 22001303133.

33130310022 is a `hidden beast` number, since 331 + 3 + 0 + 310 + 0 + 22 = 666.

It is a super-3 number, since 3×331303100223 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33130309977 and 33130310004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130310021) 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 23 ways as a sum of consecutive naturals, for example, 1307808 + ... + 1332899.

It is an arithmetic number, because the mean of its divisors is an integer number (1622054889).

Almost surely, 233130310022 is an apocalyptic number.

33130310022 is an abundant number, since it is smaller than the sum of its proper divisors (44728324650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33130310022 is a wasteful number, since it uses less digits than its factorization.

33130310022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640773 (or 2640770 counting only the distinct ones).

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

Adding to 33130310022 its reverse (22001303133), we get a palindrome (55131613155).

The spelling of 33130310022 in words is "thirty-three billion, one hundred thirty million, three hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1394 2091 4182 6273 12546 2640707 5281414 7922121 15844242 23766363 44892019 47532726 89784038 108268987 134676057 216537974 269352114 324806961 404028171 649613922 808056342 974420883 1840572779 1948841766 3681145558 5521718337 11043436674 16565155011 33130310022