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111110212220 = 225715115313433
BaseRepresentation
bin110011101111010101…
…1110100101001111100
3101121210110110121020012
41213132223310221330
53310023203242340
6123013205242352
711012262135530
oct1473653645174
9347713417205
10111110212220
11431378aaa77
121964a7033b8
13a629514c07
14554081dbc0
152d547e9565
hex19deaf4a7c

111110212220 has 96 divisors (see below), whose sum is σ = 268684071936. Its totient is φ = 37806912000.

The previous prime is 111110212207. The next prime is 111110212249. The reversal of 111110212220 is 22212011111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 111110212195 and 111110212204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32363624 + ... + 32367056.

It is an arithmetic number, because the mean of its divisors is an integer number (2798792416).

Almost surely, 2111110212220 is an apocalyptic number.

111110212220 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 111110212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134342035968).

111110212220 is an abundant number, since it is smaller than the sum of its proper divisors (157573859716).

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

111110212220 is a wasteful number, since it uses less digits than its factorization.

111110212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111110212220 its reverse (22212011111), we get a palindrome (133322223331).

The spelling of 111110212220 in words is "one hundred eleven billion, one hundred ten million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 1531 2114 3020 3062 3433 4228 5285 6124 6866 7655 10570 10717 13732 15310 17165 21140 21434 24031 30620 34330 42868 48062 53585 68660 96124 107170 120155 214340 231181 240310 462362 480620 518383 924724 1036766 1155905 1618267 2073532 2311810 2591915 3236534 3628681 4623620 5183830 5255923 6473068 7257362 8091335 10367660 10511846 14514724 16182670 18143405 21023692 26279615 32365340 36286810 36791461 52559230 72573620 73582922 105118460 147165844 183957305 367914610 735829220 793644373 1587288746 3174577492 3968221865 5555510611 7936443730 11111021222 15872887460 22222042444 27777553055 55555106110 111110212220