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110213220 = 2235131011399
BaseRepresentation
bin1101001000110…
…11100001100100
321200101102010010
412210123201210
5211203310340
614534130220
72505540225
oct644334144
9250342103
10110213220
1157237907
1230ab0970
1319aab430
14108cd24c
159a20b80
hex691b864

110213220 has 96 divisors (see below), whose sum is σ = 335865600. Its totient is φ = 26841600.

The previous prime is 110213197. The next prime is 110213221. The reversal of 110213220 is 22312011.

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 = 110213196 and 110213205.

It is not an unprimeable number, because it can be changed into a prime (110213221) 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, 78081 + ... + 79479.

It is an arithmetic number, because the mean of its divisors is an integer number (3498600).

Almost surely, 2110213220 is an apocalyptic number.

110213220 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 110213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167932800).

110213220 is an abundant number, since it is smaller than the sum of its proper divisors (225652380).

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

110213220 is a wasteful number, since it uses less digits than its factorization.

110213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110213220 is about 10498.2484253327. The cubic root of 110213220 is about 479.4513696933.

Adding to 110213220 its reverse (22312011), we get a palindrome (132525231).

It can be divided in two parts, 11021 and 3220, that added together give a palindrome (14241).

The spelling of 110213220 in words is "one hundred ten million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 195 202 260 303 390 404 505 606 780 1010 1212 1313 1399 1515 2020 2626 2798 3030 3939 4197 5252 5596 6060 6565 6995 7878 8394 13130 13990 15756 16788 18187 19695 20985 26260 27980 36374 39390 41970 54561 72748 78780 83940 90935 109122 141299 181870 218244 272805 282598 363740 423897 545610 565196 706495 847794 1091220 1412990 1695588 1836887 2119485 2825980 3673774 4238970 5510661 7347548 8477940 9184435 11021322 18368870 22042644 27553305 36737740 55106610 110213220