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11112221100 = 22352379711031
BaseRepresentation
bin10100101100101011…
…10000100110101100
31001200102121022122110
422112111300212230
5140224212033400
65034353244020
7542241215031
oct122625604654
931612538573
1011112221100
114792617202
1221a1563610
131081259976
14775b63388
15450859e50
hex2965709ac

11112221100 has 144 divisors (see below), whose sum is σ = 33086382336. Its totient is φ = 2877408000.

The previous prime is 11112221089. The next prime is 11112221119. The reversal of 11112221100 is 112221111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10777585 + ... + 10778615.

It is an arithmetic number, because the mean of its divisors is an integer number (229766544).

Almost surely, 211112221100 is an apocalyptic number.

11112221100 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 11112221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543191168).

11112221100 is an abundant number, since it is smaller than the sum of its proper divisors (21974161236).

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

11112221100 is a wasteful number, since it uses less digits than its factorization.

11112221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11112221100 its reverse (112221111), we get a palindrome (11224442211).

The spelling of 11112221100 in words is "eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 971 1031 1110 1850 1942 2062 2220 2775 2913 3093 3700 3884 4124 4855 5155 5550 5826 6186 9710 10310 11100 11652 12372 14565 15465 19420 20620 24275 25775 29130 30930 35927 38147 48550 51550 58260 61860 71854 72825 76294 77325 97100 103100 107781 114441 143708 145650 152588 154650 179635 190735 215562 228882 291300 309300 359270 381470 431124 457764 538905 572205 718540 762940 898175 953675 1001101 1077810 1144410 1796350 1907350 2002202 2155620 2288820 2694525 2861025 3003303 3592700 3814700 4004404 5005505 5389050 5722050 6006606 10011010 10778100 11444100 12013212 15016515 20022020 25027525 30033030 37040737 50055050 60066060 74081474 75082575 100110100 111122211 148162948 150165150 185203685 222244422 300330300 370407370 444488844 555611055 740814740 926018425 1111222110 1852036850 2222444220 2778055275 3704073700 5556110550 11112221100