Search a number
-
+
3120221020110 = 2354114271777691
BaseRepresentation
bin101101011001111011101…
…010100101111111001110
3102001021211120022212112120
4231121323222211333032
5402110203040120420
610345224301113410
7441266662032015
oct55317352457716
912037746285476
103120221020110
11aa3307470547
12424877858866
1319830a7510ac
14ab03b733a7c
155626dd06d40
hex2d67baa5fce

3120221020110 has 64 divisors (see below), whose sum is σ = 7676557588224. Its totient is φ = 811195500800.

The previous prime is 3120221020051. The next prime is 3120221020139. The reversal of 3120221020110 is 110201220213.

It is a super-3 number, since 3×31202210201103 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3120221020110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866365 + ... + 2644055.

It is an arithmetic number, because the mean of its divisors is an integer number (119946212316).

Almost surely, 23120221020110 is an apocalyptic number.

3120221020110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120221020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838278794112).

3120221020110 is an abundant number, since it is smaller than the sum of its proper divisors (4556336568114).

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

3120221020110 is a wasteful number, since it uses less digits than its factorization.

3120221020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779169.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 3120221020110 its reverse (110201220213), we get a palindrome (3230422240323).

The spelling of 3120221020110 in words is "three trillion, one hundred twenty billion, two hundred twenty-one million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1427 2854 4281 7135 8562 14270 21405 42810 58507 117014 175521 292535 351042 585070 877605 1755210 1777691 3555382 5333073 8888455 10666146 17776910 26665365 53330730 72885331 145770662 218655993 364426655 437311986 728853310 1093279965 2186559930 2536765057 5073530114 7610295171 12683825285 15220590342 25367650570 38051475855 76102951710 104007367337 208014734674 312022102011 520036836685 624044204022 1040073673370 1560110510055 3120221020110