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2122222221012 = 22317241208120743
BaseRepresentation
bin11110111000011110010…
…011010011011011010100
321111212211022111222121110
4132320132103103123110
5234232302342033022
64302534015215020
7306216434145645
oct36703623233324
97455738458543
102122222221012
117490361324a3
122a3373b17470
13125180c603ca
1474a04db96cc
153a30d0de00c
hex1ee1e4d36d4

2122222221012 has 96 divisors (see below), whose sum is σ = 5267676927744. Its totient is φ = 662682009600.

The previous prime is 2122222220983. The next prime is 2122222221059. The reversal of 2122222221012 is 2101222222212.

It is a self number, because there is not a number n which added to its sum of digits gives 2122222221012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102299913 + ... + 102320655.

It is an arithmetic number, because the mean of its divisors is an integer number (54871634664).

Almost surely, 22122222221012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122222221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633838463872).

2122222221012 is an abundant number, since it is smaller than the sum of its proper divisors (3145454706732).

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

2122222221012 is a wasteful number, since it uses less digits than its factorization.

2122222221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23089 (or 23087 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2122222221012 its reverse (2101222222212), we get a palindrome (4223444443224).

The spelling of 2122222221012 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 241 482 723 964 1446 2081 2892 4097 4162 6243 8194 8324 12291 12486 16388 20743 24582 24972 35377 41486 49164 62229 70754 82972 106131 124458 141508 212262 248916 352631 424524 501521 705262 1003042 1057893 1410524 1504563 2006084 2115786 3009126 4231572 4999063 6018252 8525857 9998126 14997189 17051714 19996252 25577571 29994378 34103428 43166183 51155142 59988756 84984071 86332366 102310284 129498549 169968142 172664732 254952213 258997098 339936284 509904426 517994196 733825111 1019808852 1467650222 2201475333 2935300444 4402950666 8805901332 10403050103 20806100206 31209150309 41612200412 62418300618 124836601236 176851851751 353703703502 530555555253 707407407004 1061111110506 2122222221012