Search a number
-
+
10110112020 = 2232556167289
BaseRepresentation
bin10010110101001110…
…00001000100010100
3222002120221220102100
421122213001010110
5131201142041040
64351114442100
7505352351151
oct113247010424
928076856370
1010110112020
114318992888
121b61a33330
13c51761808
146bca27228
153e28adb30
hex25a9c1114

10110112020 has 36 divisors (see below), whose sum is σ = 30667340340. Its totient is φ = 2696029824.

The previous prime is 10110112009. The next prime is 10110112073. The reversal of 10110112020 is 2021101101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4449957264 + 5660154756 = 66708^2 + 75234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10110111993 and 10110112011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28083465 + ... + 28083824.

It is an arithmetic number, because the mean of its divisors is an integer number (851870565).

Almost surely, 210110112020 is an apocalyptic number.

10110112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110112020 is an abundant number, since it is smaller than the sum of its proper divisors (20557228320).

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

10110112020 is a wasteful number, since it uses less digits than its factorization.

10110112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56167304 (or 56167299 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110112020 its reverse (2021101101), we get a palindrome (12131213121).

The spelling of 10110112020 in words is "ten billion, one hundred ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56167289 112334578 168501867 224669156 280836445 337003734 505505601 561672890 674007468 842509335 1011011202 1123345780 1685018670 2022022404 2527528005 3370037340 5055056010 10110112020