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111032020 = 2251134397
BaseRepresentation
bin1101001111000…
…11011011010100
321201221000022001
412213203123110
5211411011040
615003445044
72515520341
oct647433324
9251830261
10111032020
1157747000
1231226784
131a007028
1410a637c8
159b3359a
hex69e36d4

111032020 has 96 divisors (see below), whose sum is σ = 265136256. Its totient is φ = 39029760.

The previous prime is 111032011. The next prime is 111032069. The reversal of 111032020 is 20230111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111031988 and 111032006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144612 + ... + 1144708.

It is an arithmetic number, because the mean of its divisors is an integer number (2761836).

Almost surely, 2111032020 is an apocalyptic number.

111032020 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 111032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132568128).

111032020 is an abundant number, since it is smaller than the sum of its proper divisors (154104236).

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

111032020 is a wasteful number, since it uses less digits than its factorization.

111032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 111032020 is about 10537.1732452304. The cubic root of 111032020 is about 480.6357605719.

Adding to 111032020 its reverse (20230111), we get a palindrome (131262131).

The spelling of 111032020 in words is "one hundred eleven million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 97 110 121 172 194 215 220 242 388 430 473 484 485 605 860 946 970 1067 1210 1331 1892 1940 2134 2365 2420 2662 4171 4268 4730 5203 5324 5335 6655 8342 9460 10406 10670 11737 13310 16684 20812 20855 21340 23474 26015 26620 41710 45881 46948 52030 57233 58685 83420 91762 104060 114466 117370 129107 183524 228932 229405 234740 258214 286165 458810 504691 516428 572330 645535 917620 1009382 1144660 1291070 2018764 2523455 2582140 5046910 5551601 10093820 11103202 22206404 27758005 55516010 111032020