Search a number
-
+
222101120120 = 235112321946751
BaseRepresentation
bin1100111011011001000…
…0100010010001111000
3210020021121102220200212
43032312100202101320
512114330341320440
6250010513450252
722021605241355
oct3166620422170
9706247386625
10222101120120
1186213323930
1237065270988
1317c370b7749
14aa6d46562c
155b9d8c9465
hex33b6422478

222101120120 has 64 divisors (see below), whose sum is σ = 568859811840. Its totient is φ = 77252560000.

The previous prime is 222101120071. The next prime is 222101120177. The reversal of 222101120120 is 21021101222.

It is a junction number, because it is equal to n+sod(n) for n = 222101120095 and 222101120104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10963256 + ... + 10983495.

It is an arithmetic number, because the mean of its divisors is an integer number (8888434560).

Almost surely, 2222101120120 is an apocalyptic number.

222101120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222101120120 is an abundant number, since it is smaller than the sum of its proper divisors (346758691720).

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

222101120120 is a wasteful number, since it uses less digits than its factorization.

222101120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21946796 (or 21946792 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222101120120 its reverse (21021101222), we get a palindrome (243122221342).

The spelling of 222101120120 in words is "two hundred twenty-two billion, one hundred one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 21946751 43893502 87787004 109733755 175574008 219467510 241414261 438935020 482828522 504775273 877870040 965657044 1009550546 1207071305 1931314088 2019101092 2414142610 2523876365 4038202184 4828285220 5047752730 5552528003 9656570440 10095505460 11105056006 20191010920 22210112012 27762640015 44420224024 55525280030 111050560060 222101120120