Search a number
-
+
1110110310020 = 2254110589127849
BaseRepresentation
bin10000001001110111101…
…110110000111010000100
310221010101111101201202102
4100021313232300322010
5121142001214410040
62205551100331232
7143126365642025
oct20116756607204
93833344351672
101110110310020
11398882369608
1215b191843b18
13808b55a8c3a
143ba30142c4c
151dd2339d515
hex10277bb0e84

1110110310020 has 48 divisors (see below), whose sum is σ = 2388335166000. Its totient is φ = 433169479680.

The previous prime is 1110110310017. The next prime is 1110110310059. The reversal of 1110110310020 is 200130110111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53980016896 + 1056130293124 = 232336^2 + 1027682^2 .

It is a super-4 number, since 4×11101103100204 (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110110309983 and 1110110310010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8619056 + ... + 8746904.

It is an arithmetic number, because the mean of its divisors is an integer number (49756982625).

Almost surely, 21110110310020 is an apocalyptic number.

1110110310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110110310020 is an abundant number, since it is smaller than the sum of its proper divisors (1278224855980).

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

1110110310020 is a wasteful number, since it uses less digits than its factorization.

1110110310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138488 (or 138486 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1110110310020 its reverse (200130110111), we get a palindrome (1310240420131).

The spelling of 1110110310020 in words is "one trillion, one hundred ten billion, one hundred ten million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 10589 21178 42356 52945 105890 127849 211780 255698 434149 511396 639245 868298 1278490 1736596 2170745 2556980 4341490 5241809 8682980 10483618 20967236 26209045 52418090 104836180 1353793061 2707586122 5415172244 6768965305 13537930610 27075861220 55505515501 111011031002 222022062004 277527577505 555055155010 1110110310020