Search a number
-
+
2211102220110 = 2357107384725579
BaseRepresentation
bin100000001011001111111…
…101100101111101001110
321211101020111220202022220
4200023033331211331032
5242211314132020420
64411433310120210
7315514113524520
oct40131775457516
97741214822286
102211102220110
117827a5618303
122b86397b0066
13130676a1b054
147903724da10
153c7b0e83840
hex202cff65f4e

2211102220110 has 128 divisors (see below), whose sum is σ = 6123247902720. Its totient is φ = 500521762944.

The previous prime is 2211102220087. The next prime is 2211102220111. The reversal of 2211102220110 is 110222011122.

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 2211102220110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211102220111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86429301 + ... + 86454879.

It is an arithmetic number, because the mean of its divisors is an integer number (47837874240).

Almost surely, 22211102220110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211102220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061623951360).

2211102220110 is an abundant number, since it is smaller than the sum of its proper divisors (3912145682610).

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

2211102220110 is a wasteful number, since it uses less digits than its factorization.

2211102220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29550.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2211102220110 its reverse (110222011122), we get a palindrome (2321324231232).

The spelling of 2211102220110 in words is "two trillion, two hundred eleven billion, one hundred two million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1498 1605 2247 3210 3745 3847 4494 7490 7694 11235 11541 19235 22470 23082 25579 26929 38470 51158 53858 57705 76737 80787 115410 127895 134645 153474 161574 179053 255790 269290 358106 383685 403935 411629 537159 767370 807870 823258 895265 1074318 1234887 1790530 2058145 2469774 2685795 2736953 2881403 4116290 5371590 5473906 5762806 6174435 8210859 8644209 12348870 13684765 14407015 16421718 17288418 19158671 27369530 28814030 38317342 41054295 43221045 57476013 82108590 86442090 95793355 98402413 114952026 191586710 196804826 287380065 295207239 492012065 574760130 590414478 688816891 984024130 1377633782 1476036195 2066450673 2952072390 3444084455 4132901346 6888168910 10332253365 10529058191 20664506730 21058116382 31587174573 52645290955 63174349146 73703407337 105290581910 147406814674 157935872865 221110222011 315871745730 368517036685 442220444022 737034073370 1105551110055 2211102220110