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11121223300 = 225211431911231
BaseRepresentation
bin10100101101110000…
…00110011010000100
31001201001112200100021
422112320012122010
5140234013121200
65035314224524
7542410560355
oct122670063204
931631480307
1011121223300
114797705740
1221a4585144
13108308c305
14777027d2c
1545153741a
hex296e06684

11121223300 has 144 divisors (see below), whose sum is σ = 27102265344. Its totient is φ = 3926160000.

The previous prime is 11121223291. The next prime is 11121223301. The reversal of 11121223300 is 332212111.

It is not an unprimeable number, because it can be changed into a prime (11121223301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9033685 + ... + 9034915.

It is an arithmetic number, because the mean of its divisors is an integer number (188210176).

Almost surely, 211121223300 is an apocalyptic number.

11121223300 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 11121223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551132672).

11121223300 is an abundant number, since it is smaller than the sum of its proper divisors (15981042044).

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

11121223300 is a wasteful number, since it uses less digits than its factorization.

11121223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1483 counting only the distinct ones).

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

Adding to 11121223300 its reverse (332212111), we get a palindrome (11453435411).

The spelling of 11121223300 in words is "eleven billion, one hundred twenty-one million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 191 215 220 275 382 430 473 550 764 860 946 955 1075 1100 1231 1892 1910 2101 2150 2365 2462 3820 4202 4300 4730 4775 4924 6155 8213 8404 9460 9550 10505 11825 12310 13541 16426 19100 21010 23650 24620 27082 30775 32852 41065 42020 47300 52525 52933 54164 61550 67705 82130 90343 105050 105866 123100 135410 164260 180686 205325 210100 211732 235121 264665 270820 338525 361372 410650 451715 470242 529330 582263 677050 821300 903430 940484 1058660 1164526 1175605 1323325 1354100 1806860 2258575 2329052 2351210 2586331 2646650 2911315 4517150 4702420 5172662 5293300 5822630 5878025 9034300 10110203 10345324 11645260 11756050 12931655 14556575 20220406 23512100 25863310 29113150 40440812 50551015 51726620 58226300 64658275 101102030 111212233 129316550 202204060 222424466 252755075 258633100 444848932 505510150 556061165 1011020300 1112122330 2224244660 2780305825 5560611650 11121223300