Search a number
-
+
3321321300320 = 255432767174467
BaseRepresentation
bin110000010101001110001…
…011010010000101100000
3102202111220120222120201212
4300111032023102011200
5413404031223102240
611021443254045252
7461646303150032
oct60251613220540
912674816876655
103321321300320
111070623318531
1245783b949828
131b12789bb63a
14b6a779c7c52
155b5ddb6a165
hex3054e2d2160

3321321300320 has 96 divisors (see below), whose sum is σ = 8032048915968. Its totient is φ = 1297156105728.

The previous prime is 3321321300257. The next prime is 3321321300347. The reversal of 3321321300320 is 230031231233.

It is a super-2 number, since 2×33213213003202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18949727 + ... + 19124193.

It is an arithmetic number, because the mean of its divisors is an integer number (83667176208).

Almost surely, 23321321300320 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 3321321300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016024457984).

3321321300320 is an abundant number, since it is smaller than the sum of its proper divisors (4710727615648).

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

3321321300320 is a wasteful number, since it uses less digits than its factorization.

3321321300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177292 (or 177284 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 3321321300320 its reverse (230031231233), we get a palindrome (3551352531553).

The spelling of 3321321300320 in words is "three trillion, three hundred twenty-one billion, three hundred twenty-one million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 2767 3440 5534 6880 11068 13835 22136 27670 44272 55340 88544 110680 118981 174467 221360 237962 348934 442720 475924 594905 697868 872335 951848 1189810 1395736 1744670 1903696 2379620 2791472 3489340 3807392 4759240 5582944 6978680 7502081 9518480 13957360 15004162 19036960 27914720 30008324 37510405 60016648 75020810 120033296 150041620 240066592 300083240 482750189 600166480 965500378 1200332960 1931000756 2413750945 3862001512 4827501890 7724003024 9655003780 15448006048 19310007560 20758258127 38620015120 41516516254 77240030240 83033032508 103791290635 166066065016 207582581270 332132130032 415165162540 664264260064 830330325080 1660660650160 3321321300320