Search a number
-
+
2311314403220 = 2257313841114377
BaseRepresentation
bin100001101000100101000…
…100101110111110010100
322011221220110211010002022
4201220211010232332110
5300332032441400340
64525445253032312
7325662345161624
oct41504504567624
98157813733068
102311314403220
1181124a7a7749
12313b46625698
13139c5748c214
147dc22544884
15401c8b323b5
hex21a2512ef94

2311314403220 has 48 divisors (see below), whose sum is σ = 4920648617808. Its totient is φ = 911787171840.

The previous prime is 2311314403217. The next prime is 2311314403249. The reversal of 2311314403220 is 223044131132.

It can be written as a sum of positive squares in 8 ways, for example, as 437711913604 + 1873602489616 = 661598^2 + 1368796^2 .

It is a super-3 number, since 3×23113144032203 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2311314403220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20150672 + ... + 20265048.

It is an arithmetic number, because the mean of its divisors is an integer number (102513512871).

Almost surely, 22311314403220 is an apocalyptic number.

2311314403220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2311314403220 is an abundant number, since it is smaller than the sum of its proper divisors (2609334214588).

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

2311314403220 is a wasteful number, since it uses less digits than its factorization.

2311314403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128300 (or 128298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2311314403220 its reverse (223044131132), we get a palindrome (2534358534352).

The spelling of 2311314403220 in words is "two trillion, three hundred eleven billion, three hundred fourteen million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 13841 27682 55364 69205 114377 138410 228754 276820 457508 571885 1010393 1143770 2020786 2287540 4041572 5051965 8349521 10103930 16699042 20207860 33398084 41747605 83495210 166990420 1583092057 3166184114 6332368228 7915460285 15830920570 31661841140 115565720161 231131440322 462262880644 577828600805 1155657201610 2311314403220