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3300031330020 = 2232518333507389
BaseRepresentation
bin110000000001011001001…
…100011111011011100100
3102200110221212011000220100
4300001121030133123210
5413031431010030040
611004002524104100
7460263565324545
oct60013114373344
912613855130810
103300031330020
111062598721757
12453699995030
131ac264caac89
14b5a182724cc
155ac94a40b30
hex3005931f6e4

3300031330020 has 36 divisors (see below), whose sum is σ = 10010095034940. Its totient is φ = 880008354624.

The previous prime is 3300031330003. The next prime is 3300031330067. The reversal of 3300031330020 is 200331300033.

3300031330020 is a `hidden beast` number, since 3 + 30 + 0 + 0 + 313 + 300 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1547351893476 + 1752679436544 = 1243926^2 + 1323888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33000313300202 (a number of 26 digits) contains 22 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 = 3300031329975 and 3300031330002.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9166753515 + ... + 9166753874.

It is an arithmetic number, because the mean of its divisors is an integer number (278058195415).

Almost surely, 23300031330020 is an apocalyptic number.

3300031330020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3300031330020 is an abundant number, since it is smaller than the sum of its proper divisors (6710063704920).

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

3300031330020 is a wasteful number, since it uses less digits than its factorization.

3300031330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333507404 (or 18333507399 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 3300031330020 its reverse (200331300033), we get a palindrome (3500362630053).

The spelling of 3300031330020 in words is "three trillion, three hundred billion, thirty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18333507389 36667014778 55000522167 73334029556 91667536945 110001044334 165001566501 183335073890 220002088668 275002610835 330003133002 366670147780 550005221670 660006266004 825007832505 1100010443340 1650015665010 3300031330020