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111221220 = 223511433919
BaseRepresentation
bin1101010000100…
…01100111100100
321202021121211110
412220101213210
5211433034340
615011505020
72520236055
oct650214744
9252247743
10111221220
1157866170
12312b8170
131a072196
1410ab272c
159b6e680
hex6a119e4

111221220 has 96 divisors (see below), whose sum is σ = 347719680. Its totient is φ = 26328960.

The previous prime is 111221219. The next prime is 111221221. The reversal of 111221220 is 22122111.

It is an interprime number because it is at equal distance from previous prime (111221219) and next prime (111221221).

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

It is a junction number, because it is equal to n+sod(n) for n = 111221196 and 111221205.

It is not an unprimeable number, because it can be changed into a prime (111221221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26421 + ... + 30339.

It is an arithmetic number, because the mean of its divisors is an integer number (3622080).

Almost surely, 2111221220 is an apocalyptic number.

111221220 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 111221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173859840).

111221220 is an abundant number, since it is smaller than the sum of its proper divisors (236498460).

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

111221220 is a wasteful number, since it uses less digits than its factorization.

111221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 111221220 is about 10546.1471637750. The cubic root of 111221220 is about 480.9086088383.

Adding to 111221220 its reverse (22122111), we get a palindrome (133343331).

The spelling of 111221220 in words is "one hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 3919 4730 5676 7095 7838 9460 11757 14190 15676 19595 23514 28380 39190 43109 47028 58785 78380 86218 117570 129327 168517 172436 215545 235140 258654 337034 431090 505551 517308 646635 674068 842585 862180 1011102 1293270 1685170 1853687 2022204 2527755 2586540 3370340 3707374 5055510 5561061 7414748 9268435 10111020 11122122 18536870 22244244 27805305 37073740 55610610 111221220