Search a number
-
+
222101100100000 = 255511201910091
BaseRepresentation
bin110010011111111111110001…
…001011001111100110100000
31002010101122202112121121221101
4302133333301023033212200
5213102401023111200000
62104211500430404144
764532163210453562
oct6237776113174640
91063348675547841
10222101100100000
116484a60292a720
1220ab0821060654
1396c1075500a54
143cbba71919332
151aa255c9e2e6a
hexc9fff12cf9a0

222101100100000 has 144 divisors (see below), whose sum is σ = 596227579430112. Its totient is φ = 80764036000000.

The previous prime is 222101100099997. The next prime is 222101100100001. The reversal of 222101100100000 is 1001101222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 222101100100000.

It is not an unprimeable number, because it can be changed into a prime (222101100100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99855046 + ... + 102055045.

It is an arithmetic number, because the mean of its divisors is an integer number (4140469301598).

Almost surely, 2222101100100000 is an apocalyptic number.

222101100100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222101100100000 is an abundant number, since it is smaller than the sum of its proper divisors (374126479330112).

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

222101100100000 is an equidigital number, since it uses as much as digits as its factorization.

222101100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201910137 (or 201910109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 222101100100000 its reverse (1001101222), we get a palindrome (222102101201222).

The spelling of 222101100100000 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 550000 1100000 201910091 403820182 807640364 1009550455 1615280728 2019100910 2221011001 3230561456 4038201820 4442022002 5047752275 6461122912 8076403640 8884044004 10095504550 11105055005 16152807280 17768088008 20191009100 22210110010 25238761375 32305614560 35536176016 40382018200 44420220020 50477522750 55525275025 71072352032 80764036400 88840440040 100955045500 111050550050 126193806875 161528072800 177680880080 201910091000 222101100100 252387613750 277626375125 355361760160 403820182000 444202200200 504775227500 555252750250 630969034375 807640364000 888404400400 1009550455000 1110505500500 1261938068750 1388131875625 1776808800800 2019100910000 2221011001000 2523876137500 2776263751250 4038201820000 4442022002000 5047752275000 5552527502500 6940659378125 8884044004000 10095504550000 11105055005000 13881318756250 20191009100000 22210110010000 27762637512500 44420220020000 55525275025000 111050550050000 222101100100000