Search a number
-
+
3323221123302 = 2332991122557
BaseRepresentation
bin110000010110111111011…
…010100010000011100110
3102202200210222211120221000
4300112333122202003212
5413421424101421202
611022400001534130
7462044342321403
oct60267732420346
912680728746830
103323221123302
111071408762673
12458090044346
131b14bc48c752
14b6bb80472aa
155b6a084091c
hex305bf6a20e6

3323221123302 has 96 divisors (see below), whose sum is σ = 7650974930400. Its totient is φ = 1067950578240.

The previous prime is 3323221123301. The next prime is 3323221123319. The reversal of 3323221123302 is 2033211223233.

3323221123302 is a `hidden beast` number, since 3 + 3 + 2 + 322 + 1 + 1 + 2 + 330 + 2 = 666.

3323221123302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33232211233022 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323221123301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299655008 + ... + 1299657564.

It is an arithmetic number, because the mean of its divisors is an integer number (79697655525).

Almost surely, 23323221123302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323221123302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825487465200).

3323221123302 is an abundant number, since it is smaller than the sum of its proper divisors (4327753807098).

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

3323221123302 is an equidigital number, since it uses as much as digits as its factorization.

3323221123302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3323221123302 its reverse (2033211223233), we get a palindrome (5356432346535).

The spelling of 3323221123302 in words is "three trillion, three hundred twenty-three billion, two hundred twenty-one million, one hundred twenty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 911 1566 1822 2557 2733 5114 5466 7671 8199 15342 16398 23013 24597 26419 46026 49194 52838 69039 74153 79257 138078 148306 158514 222459 237771 444918 475542 667377 713313 829921 1334754 1426626 1659842 2002131 2329427 2489763 4004262 4658854 4979526 6988281 7469289 13976562 14938578 20964843 22407867 24067709 41929686 44815734 48135418 62894529 67553383 72203127 125789058 135106766 144406254 202660149 216609381 405320298 433218762 607980447 649828143 1215960894 1299656286 1823941341 2122107997 3647882682 4244215994 6366323991 12732647982 19098971973 38197943946 57296915919 61541131913 114593831838 123082263826 184623395739 369246791478 553870187217 1107740374434 1661610561651 3323221123302