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110212020 = 223251736017
BaseRepresentation
bin1101001000110…
…11001110110100
321200101100110200
412210123032310
5211203241040
614534120500
72505533562
oct644331664
9250340420
10110212020
1157236a16
1230ab0130
1319aaaa19
14108cca32
159a20630
hex691b3b4

110212020 has 72 divisors (see below), whose sum is σ = 353984904. Its totient is φ = 27660288.

The previous prime is 110212019. The next prime is 110212049. The reversal of 110212020 is 20212011.

It can be written as a sum of positive squares in 4 ways, for example, as 23386896 + 86825124 = 4836^2 + 9318^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110211993 and 110212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14949 + ... + 21068.

It is an arithmetic number, because the mean of its divisors is an integer number (4916457).

Almost surely, 2110212020 is an apocalyptic number.

110212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212020 is an abundant number, since it is smaller than the sum of its proper divisors (243772884).

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

110212020 is a wasteful number, since it uses less digits than its factorization.

110212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36049 (or 36044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 110212020 is about 10498.1912727860. The cubic root of 110212020 is about 479.4496296004.

Adding to 110212020 its reverse (20212011), we get a palindrome (130424031).

Subtracting from 110212020 its reverse (20212011), we obtain a palindrome (90000009).

It can be divided in two parts, 11021 and 2020, that added together give a triangular number (13041 = T161).

The spelling of 110212020 in words is "one hundred ten million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 36017 72034 108051 144068 180085 216102 324153 360170 432204 540255 612289 648306 720340 1080510 1224578 1296612 1620765 1836867 2161020 2449156 3061445 3241530 3673734 5510601 6122890 6483060 7347468 9184335 11021202 12245780 18368670 22042404 27553005 36737340 55106010 110212020