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111112112220 = 223537157318793
BaseRepresentation
bin110011101111011001…
…1000100100001011100
3101121210121001010112120
41213132303010201130
53310024200042340
6123013314102540
711012314241064
oct1473663044134
9347717033476
10111112112220
114313898851a
121964b27aa50
13a629a2b985
145540b963a4
152d54a724d0
hex19decc485c

111112112220 has 96 divisors (see below), whose sum is σ = 321558581568. Its totient is φ = 28645373952.

The previous prime is 111112112179. The next prime is 111112112227. The reversal of 111112112220 is 22211211111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111112112220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112112227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 189144 + ... + 507936.

It is an arithmetic number, because the mean of its divisors is an integer number (3349568558).

Almost surely, 2111112112220 is an apocalyptic number.

111112112220 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 111112112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160779290784).

111112112220 is an abundant number, since it is smaller than the sum of its proper divisors (210446469348).

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

111112112220 is a wasteful number, since it uses less digits than its factorization.

111112112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318999 (or 318997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111112112220 its reverse (22211211111), we get a palindrome (133323323331).

The spelling of 111112112220 in words is "one hundred eleven billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 157 185 222 314 370 444 471 555 628 740 785 942 1110 1570 1884 2220 2355 3140 4710 5809 9420 11618 17427 23236 29045 34854 58090 69708 87135 116180 174270 318793 348540 637586 956379 1275172 1593965 1912758 3187930 3825516 4781895 6375860 9563790 11795341 19127580 23590682 35386023 47181364 50050501 58976705 70772046 100101002 117953410 141544092 150151503 176930115 200202004 235906820 250252505 300303006 353860230 500505010 600606012 707720460 750757515 1001010020 1501515030 1851868537 3003030060 3703737074 5555605611 7407474148 9259342685 11111211222 18518685370 22222422444 27778028055 37037370740 55556056110 111112112220