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11332311220 = 22573113149461
BaseRepresentation
bin10101000110111010…
…10101100010110100
31002020202202001112101
422203131111202310
5141202032424340
65112254431444
7550553025136
oct124335254264
932222661471
1011332311220
11489588116a
122243202584
1310b7a293c9
14797095056
15464d31c9a
hex2a37558b4

11332311220 has 96 divisors (see below), whose sum is σ = 24553821600. Its totient is φ = 4391976960.

The previous prime is 11332311187. The next prime is 11332311239. The reversal of 11332311220 is 2211323311.

11332311220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 8678412964 + 2653898256 = 93158^2 + 51516^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24581790 + ... + 24582250.

It is an arithmetic number, because the mean of its divisors is an integer number (255768975).

Almost surely, 211332311220 is an apocalyptic number.

11332311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332311220 is an abundant number, since it is smaller than the sum of its proper divisors (13221510380).

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

11332311220 is a wasteful number, since it uses less digits than its factorization.

11332311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11332311220 its reverse (2211323311), we get a palindrome (13543634531).

The spelling of 11332311220 in words is "eleven billion, three hundred thirty-two million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 113 146 149 226 292 298 365 452 461 565 596 730 745 922 1130 1460 1490 1844 2260 2305 2980 4610 8249 9220 10877 16498 16837 21754 32996 33653 33674 41245 43508 52093 54385 67306 67348 68689 82490 84185 104186 108770 134612 137378 164980 168265 168370 208372 217540 260465 274756 336530 336740 343445 520930 673060 686890 1041860 1229101 1373780 2458202 3802789 4916404 5014297 6145505 7605578 7761857 10028594 12291010 15211156 15523714 19013945 20057188 24582020 25071485 31047428 38027890 38809285 50142970 76055780 77618570 100285940 155237140 566615561 1133231122 2266462244 2833077805 5666155610 11332311220