Search a number
-
+
3320120020320 = 25335768546301
BaseRepresentation
bin110000010100000110100…
…100110000110101100000
3102202101210212120020101000
4300110012210300311200
5413344101211122240
611021124142312000
7461604445351005
oct60240644606540
912671725506330
103320120020320
111070067218044
12457565588600
131b1116b6967c
14b69a22438ac
155b56d47a430
hex30506930d60

3320120020320 has 96 divisors (see below), whose sum is σ = 11620420086240. Its totient is φ = 885365337600.

The previous prime is 3320120020319. The next prime is 3320120020333. The reversal of 3320120020320 is 230200210233.

It is a happy number.

3320120020320 is a `hidden beast` number, since 3 + 320 + 1 + 2 + 0 + 0 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33201200203202 (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 = 3320120020293 and 3320120020302.

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, 384268831 + ... + 384277470.

It is an arithmetic number, because the mean of its divisors is an integer number (121046042565).

Almost surely, 23320120020320 is an apocalyptic number.

3320120020320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3320120020320 is an abundant number, since it is smaller than the sum of its proper divisors (8300300065920).

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

3320120020320 is a wasteful number, since it uses less digits than its factorization.

3320120020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768546325 (or 768546311 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3320120020320 its reverse (230200210233), we get a palindrome (3550320230553).

The spelling of 3320120020320 in words is "three trillion, three hundred twenty billion, one hundred twenty million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 768546301 1537092602 2305638903 3074185204 3842731505 4611277806 6148370408 6916916709 7685463010 9222555612 11528194515 12296740816 13833833418 15370926020 18445111224 20750750127 23056389030 24593481632 27667666836 30741852040 34584583545 36890222448 41501500254 46112778060 55335333672 61483704080 69169167090 73780444896 83003000508 92225556120 103753750635 110670667344 122967408160 138338334180 166006001016 184451112240 207507501270 221341334688 276676668360 332012002032 368902224480 415015002540 553353336720 664024004064 830030005080 1106706673440 1660060010160 3320120020320