Search a number
-
+
3321333203020 = 2257233269378509
BaseRepresentation
bin110000010101001110111…
…000101100000001001100
3102202111221102101022011121
4300111032320230001030
5413404042244444040
611021444401130324
7461646506262550
oct60251670540114
912674842338147
103321333203020
11107062a008178
124578439299a4
131b127b2c8261
14b6a79405860
155b5dec1bc4a
hex3054ee2c04c

3321333203020 has 96 divisors (see below), whose sum is σ = 8035191964800. Its totient is φ = 1129637443584.

The previous prime is 3321333203011. The next prime is 3321333203029. The reversal of 3321333203020 is 203023331233.

It is an interprime number because it is at equal distance from previous prime (3321333203011) and next prime (3321333203029).

It is a super-2 number, since 2×33213332030202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321333203029) 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 31 ways as a sum of consecutive naturals, for example, 8585526 + ... + 8964034.

It is an arithmetic number, because the mean of its divisors is an integer number (83699916300).

Almost surely, 23321333203020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321333203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017595982400).

3321333203020 is an abundant number, since it is smaller than the sum of its proper divisors (4713858761780).

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

3321333203020 is a wasteful number, since it uses less digits than its factorization.

3321333203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379027 (or 379025 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 3321333203020 its reverse (203023331233), we get a palindrome (3524356534253).

The spelling of 3321333203020 in words is "three trillion, three hundred twenty-one billion, three hundred thirty-three million, two hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 269 466 538 932 1076 1165 1345 1631 1883 2330 2690 3262 3766 4660 5380 6524 7532 8155 9415 16310 18830 32620 37660 62677 125354 250708 313385 378509 438739 626770 757018 877478 1253540 1514036 1754956 1892545 2193695 2649563 3785090 4387390 5299126 7570180 8774780 10598252 13247815 26495630 52991260 88192597 101818921 176385194 203637842 352770388 407275684 440962985 509094605 617348179 712732447 881925970 1018189210 1234696358 1425464894 1763851940 2036378420 2469392716 2850929788 3086740895 3563662235 6173481790 7127324470 12346963580 14254648940 23723808593 47447617186 94895234372 118619042965 166066660151 237238085930 332133320302 474476171860 664266640604 830333300755 1660666601510 3321333203020