Search a number
-
+
2122110120222 = 2321151175958231
BaseRepresentation
bin11110111000010111100…
…111101011000100011110
321111212112111120200020100
4132320113213223010132
5234232040142321342
64302514532401530
7306213603254331
oct36702747530436
97455474520210
102122110120222
11748a88926514
122a33424762a6
13125163970a91
14749d4158618
153a303348e4c
hex1ee179eb11e

2122110120222 has 48 divisors (see below), whose sum is σ = 4604595240960. Its totient is φ = 706341546000.

The previous prime is 2122110120167. The next prime is 2122110120227. The reversal of 2122110120222 is 2220210112212.

It is a happy number.

2122110120222 is a `hidden beast` number, since 212 + 2 + 110 + 120 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122110120195 and 2122110120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122110120227) 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, 36413847 + ... + 36472077.

It is an arithmetic number, because the mean of its divisors is an integer number (95929067520).

Almost surely, 22122110120222 is an apocalyptic number.

2122110120222 is an abundant number, since it is smaller than the sum of its proper divisors (2482485120738).

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

2122110120222 is a wasteful number, since it uses less digits than its factorization.

2122110120222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61149 (or 61146 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122110120222 its reverse (2220210112212), we get a palindrome (4342320232434).

The spelling of 2122110120222 in words is "two trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 1151 1759 2302 3453 3518 5277 6906 10359 10554 15831 20718 31662 58231 116462 174693 349386 524079 1048158 2024609 4049218 6073827 12147654 18221481 36442962 67023881 102428329 134047762 201071643 204856658 307284987 402143286 603214929 614569974 921854961 1206429858 1843709922 117895006679 235790013358 353685020037 707370040074 1061055060111 2122110120222