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111002020 = 2251491932
BaseRepresentation
bin1101001110111…
…00000110100100
321201212111010221
412213130012210
5211404031040
615003054124
72515334023
oct647340644
9251774127
10111002020
1157726508
1231211344
1319cc648c
1410a568ba
159b2974a
hex69dc1a4

111002020 has 36 divisors (see below), whose sum is σ = 235890900. Its totient is φ = 43874304.

The previous prime is 111001997. The next prime is 111002029. The reversal of 111002020 is 20200111.

It can be written as a sum of positive squares in 6 ways, for example, as 31292836 + 79709184 = 5594^2 + 8928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111001994 and 111002012.

It is not an unprimeable number, because it can be changed into a prime (111002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575044 + ... + 575236.

It is an arithmetic number, because the mean of its divisors is an integer number (6552525).

Almost surely, 2111002020 is an apocalyptic number.

111002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111002020 is an abundant number, since it is smaller than the sum of its proper divisors (124888880).

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

111002020 is a wasteful number, since it uses less digits than its factorization.

111002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 111002020 is about 10535.7496173742. The cubic root of 111002020 is about 480.5924686408.

Adding to 111002020 its reverse (20200111), we get a palindrome (131202131).

The spelling of 111002020 in words is "one hundred eleven million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 149 193 298 386 596 745 772 965 1490 1930 2980 3860 28757 37249 57514 74498 115028 143785 148996 186245 287570 372490 575140 744980 5550101 11100202 22200404 27750505 55501010 111002020