Search a number
-
+
110112221001020 = 2257786515864293
BaseRepresentation
bin11001000010010101111111…
…110100010111010100111100
3112102212121220000011022010012
4121002111333310113110330
5103413034312034013040
61030104504521202352
732123226325344620
oct3102257764272474
9472777800138105
10110112221001020
11320a3370154237
12104245a00303b8
1349596cb973944
141d296620ab180
15cae4117c4865
hex64257fd1753c

110112221001020 has 24 divisors (see below), whose sum is σ = 264269330402784. Its totient is φ = 37752761486016.

The previous prime is 110112221000983. The next prime is 110112221001061. The reversal of 110112221001020 is 20100122211011.

110112221001020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1101122210010203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110112221000986 and 110112221001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393257932007 + ... + 393257932286.

It is an arithmetic number, because the mean of its divisors is an integer number (11011222100116).

Almost surely, 2110112221001020 is an apocalyptic number.

110112221001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112221001020 is an abundant number, since it is smaller than the sum of its proper divisors (154157109401764).

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

110112221001020 is a wasteful number, since it uses less digits than its factorization.

110112221001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786515864309 (or 786515864307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110112221001020 its reverse (20100122211011), we get a palindrome (130212343212031).

The spelling of 110112221001020 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-one million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 786515864293 1573031728586 3146063457172 3932579321465 5505611050051 7865158642930 11011222100102 15730317285860 22022444200204 27528055250255 55056110500510 110112221001020