Search a number
-
+
11310212320 = 255116426257
BaseRepresentation
bin10101000100010010…
…00010010011100000
31002012020011022112121
422202021002103200
5141130403243240
65110145034024
7550164134641
oct124211022340
932166138477
1011310212320
114884357a10
122237925914
1310b328c834
147941816c8
15462e1904a
hex2a22424e0

11310212320 has 48 divisors (see below), whose sum is σ = 29149506288. Its totient is φ = 4112803840.

The previous prime is 11310212311. The next prime is 11310212321. The reversal of 11310212320 is 2321201311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11310212294 and 11310212303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3211369 + ... + 3214888.

It is an arithmetic number, because the mean of its divisors is an integer number (607281381).

Almost surely, 211310212320 is an apocalyptic number.

11310212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310212320 is an abundant number, since it is smaller than the sum of its proper divisors (17839293968).

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

11310212320 is a wasteful number, since it uses less digits than its factorization.

11310212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426283 (or 6426275 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11310212320 its reverse (2321201311), we get a palindrome (13631413631).

The spelling of 11310212320 in words is "eleven billion, three hundred ten million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6426257 12852514 25705028 32131285 51410056 64262570 70688827 102820112 128525140 141377654 205640224 257050280 282755308 353444135 514100560 565510616 706888270 1028201120 1131021232 1413776540 2262042464 2827553080 5655106160 11310212320