Search a number
-
+
3122323002320 = 2451717313270669
BaseRepresentation
bin101101011011111000111…
…101000001001111010000
3102001111021001120122001112
4231123320331001033100
5402124004142033240
610350213025552452
7441403034423024
oct55337075011720
912044231518045
103122323002320
11aa4195a32925
124251637a5728
13198584084252
14ab19a978384
1556343611665
hex2d6f8f413d0

3122323002320 has 80 divisors (see below), whose sum is σ = 7730855349840. Its totient is φ = 1168668106752.

The previous prime is 3122323002311. The next prime is 3122323002353. The reversal of 3122323002320 is 232003232213.

It can be written as a sum of positive squares in 8 ways, for example, as 3312693136 + 3119010309184 = 57556^2 + 1766072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 6400055 + ... + 6870614.

It is an arithmetic number, because the mean of its divisors is an integer number (96635691873).

Almost surely, 23122323002320 is an apocalyptic number.

It is an amenable number.

3122323002320 is an abundant number, since it is smaller than the sum of its proper divisors (4608532347520).

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

3122323002320 is a wasteful number, since it uses less digits than its factorization.

3122323002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13270872 (or 13270866 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 3122323002320 its reverse (232003232213), we get a palindrome (3354326234533).

The spelling of 3122323002320 in words is "three trillion, one hundred twenty-two billion, three hundred twenty-three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 173 272 340 346 680 692 865 1360 1384 1730 2768 2941 3460 5882 6920 11764 13840 14705 23528 29410 47056 58820 117640 235280 13270669 26541338 53082676 66353345 106165352 132706690 212330704 225601373 265413380 451202746 530826760 902405492 1061653520 1128006865 1804810984 2256013730 2295825737 3609621968 4512027460 4591651474 9024054920 9183302948 11479128685 18048109840 18366605896 22958257370 36733211792 39029037529 45916514740 78058075058 91833029480 156116150116 183666058960 195145187645 312232300232 390290375290 624464600464 780580750580 1561161501160 3122323002320