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2122020102222 = 23219311011981711
BaseRepresentation
bin11110111000010010010…
…000010010000001001110
321111212022020012021202100
4132320102100102001032
5234231344121232342
64302501555135530
7306211431155226
oct36702220220116
97455266167670
102122020102222
11748a42032679
122a33182a45a6
1312514b1138a7
14749c6205086
153a2ea4b6e4c
hex1ee1241204e

2122020102222 has 96 divisors (see below), whose sum is σ = 5045280215040. Its totient is φ = 642074040000.

The previous prime is 2122020102221. The next prime is 2122020102247. The reversal of 2122020102222 is 2222010202212.

2122020102222 is a `hidden beast` number, since 21 + 220 + 201 + 0 + 2 + 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 = 2122020102195 and 2122020102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122020102221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79947 + ... + 2061657.

It is an arithmetic number, because the mean of its divisors is an integer number (52555002240).

Almost surely, 22122020102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122020102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522640107520).

2122020102222 is an abundant number, since it is smaller than the sum of its proper divisors (2923260112818).

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

2122020102222 is a wasteful number, since it uses less digits than its factorization.

2122020102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981870 (or 1981867 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122020102222 its reverse (2222010202212), we get a palindrome (4344030304434).

The spelling of 2122020102222 in words is "two trillion, one hundred twenty-two billion, twenty million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 101 114 171 186 202 279 303 342 558 589 606 909 1178 1767 1818 1919 3131 3534 3838 5301 5757 6262 9393 10602 11514 17271 18786 28179 34542 56358 59489 118978 178467 356934 535401 1070802 1981711 3963422 5945133 11890266 17835399 35670798 37652509 61433041 75305018 112957527 122866082 184299123 200152811 225915054 338872581 368598246 400305622 552897369 600458433 677745162 1105794738 1167227779 1200916866 1801375299 2334455558 3501683337 3602750598 3802903409 6204737141 7003366674 7605806818 10505050011 11408710227 12409474282 18614211423 21010100022 22817420454 34226130681 37228422846 55842634269 68452261362 111685268538 117890005679 235780011358 353670017037 707340034074 1061010051111 2122020102222