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111021020 = 225111732917
BaseRepresentation
bin1101001111000…
…00101111011100
321201220110012122
412213200233130
5211410133040
615003322112
72515443305
oct647405734
9251813178
10111021020
1157739810
1231220338
131a002016
1410a5d7ac
159b301b5
hex69e0bdc

111021020 has 48 divisors (see below), whose sum is σ = 255896928. Its totient is φ = 40124160.

The previous prime is 111021017. The next prime is 111021083. The reversal of 111021020 is 20120111.

It is a junction number, because it is equal to n+sod(n) for n = 111020989 and 111021007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36602 + ... + 39518.

It is an arithmetic number, because the mean of its divisors is an integer number (5331186).

Almost surely, 2111021020 is an apocalyptic number.

111021020 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 111021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127948464).

111021020 is an abundant number, since it is smaller than the sum of its proper divisors (144875908).

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

111021020 is a wasteful number, since it uses less digits than its factorization.

111021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 111021020 is about 10536.6512706837. The cubic root of 111021020 is about 480.6198877694.

Adding to 111021020 its reverse (20120111), we get a palindrome (131141131).

Subtracting from 111021020 its reverse (20120111), we obtain a palindrome (90900909).

The spelling of 111021020 in words is "one hundred eleven million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 1730 1903 2917 3460 3806 5834 7612 9515 11668 14585 19030 29170 32087 38060 58340 64174 128348 160435 320870 504641 641740 1009282 2018564 2523205 5046410 5551051 10092820 11102102 22204204 27755255 55510510 111021020