Search a number
-
+
110110211220 = 22354793831253
BaseRepresentation
bin110011010001100010…
…1000111110010010100
3101112012202210021202010
41212203011013302110
53301001203224340
6122330043544220
710645430231652
oct1464305076224
9345182707663
10110110211220
1142774386469
121940b82b070
13a4ca2a7449
145487ab1dd2
152ce6b17b80
hex19a3147c94

110110211220 has 48 divisors (see below), whose sum is σ = 308952322560. Its totient is φ = 29301415296.

The previous prime is 110110211179. The next prime is 110110211257. The reversal of 110110211220 is 22112011011.

110110211220 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1101102112202 (a number of 23 digits) contains 22 as substring.

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 = 110110211196 and 110110211205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1886887 + ... + 1944366.

It is an arithmetic number, because the mean of its divisors is an integer number (6436506720).

Almost surely, 2110110211220 is an apocalyptic number.

110110211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110211220 is an abundant number, since it is smaller than the sum of its proper divisors (198842111340).

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

110110211220 is a wasteful number, since it uses less digits than its factorization.

110110211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831744 (or 3831742 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110110211220 its reverse (22112011011), we get a palindrome (132222222231).

The spelling of 110110211220 in words is "one hundred ten billion, one hundred ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 479 958 1437 1916 2395 2874 4790 5748 7185 9580 14370 28740 3831253 7662506 11493759 15325012 19156265 22987518 38312530 45975036 57468795 76625060 114937590 229875180 1835170187 3670340374 5505510561 7340680748 9175850935 11011021122 18351701870 22022042244 27527552805 36703403740 55055105610 110110211220