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11322302200 = 23521121124391
BaseRepresentation
bin10101000101101110…
…01001111011111000
31002020001220112201221
422202313021323320
5141142002132300
65111300121424
7550401660256
oct124267117370
932201815657
1011322302200
114890165250
12223b996274
1310b5933701
14795a0b5d6
1546400631a
hex2a2dc9ef8

11322302200 has 96 divisors (see below), whose sum is σ = 28854760320. Its totient is φ = 4097520000.

The previous prime is 11322302197. The next prime is 11322302213. The reversal of 11322302200 is 220322311.

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 23 ways as a sum of consecutive naturals, for example, 452005 + ... + 476395.

It is an arithmetic number, because the mean of its divisors is an integer number (300570420).

Almost surely, 211322302200 is an apocalyptic number.

11322302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14427380160).

11322302200 is an abundant number, since it is smaller than the sum of its proper divisors (17532458120).

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

11322302200 is a wasteful number, since it uses less digits than its factorization.

11322302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24629 (or 24620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11322302200 its reverse (220322311), we get a palindrome (11542624511).

The spelling of 11322302200 in words is "eleven billion, three hundred twenty-two million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 211 220 275 422 440 550 844 1055 1100 1688 2110 2200 2321 4220 4642 5275 8440 9284 10550 11605 18568 21100 23210 24391 42200 46420 48782 58025 92840 97564 116050 121955 195128 232100 243910 268301 464200 487820 536602 609775 975640 1073204 1219550 1341505 2146408 2439100 2683010 4878200 5146501 5366020 6707525 10293002 10732040 13415050 20586004 25732505 26830100 41172008 51465010 53660200 56611511 102930020 113223022 128662525 205860040 226446044 257325050 283057555 452892088 514650100 566115110 1029300200 1132230220 1415287775 2264460440 2830575550 5661151100 11322302200