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2122220012202 = 2321729323670169
BaseRepresentation
bin11110111000011110001…
…010111000001010101010
321111212211011100202200200
4132320132022320022222
5234232301310342302
64302533500013030
7306216406316163
oct36703612701252
97455734322620
102122220012202
11749034963a34
122a3373231176
13125180668c14
1474a049a276a
153a30cd0481c
hex1ee1e2b82aa

2122220012202 has 48 divisors (see below), whose sum is σ = 4885239045960. Its totient is φ = 663522149376.

The previous prime is 2122220012189. The next prime is 2122220012203. The reversal of 2122220012202 is 2022100222212.

2122220012202 is a `hidden beast` number, since 21 + 222 + 200 + 1 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2100705283161 + 21514729041 = 1449381^2 + 146679^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2122220012203) 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, 11745427 + ... + 11924742.

Almost surely, 22122220012202 is an apocalyptic number.

2122220012202 is an abundant number, since it is smaller than the sum of its proper divisors (2763019033758).

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

2122220012202 is a wasteful number, since it uses less digits than its factorization.

2122220012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23670487 (or 23670484 counting only the distinct ones).

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

Adding to 2122220012202 its reverse (2022100222212), we get a palindrome (4144320234414).

The spelling of 2122220012202 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 293 306 586 879 1758 2637 4981 5274 9962 14943 29886 44829 89658 23670169 47340338 71010507 142021014 213031521 402392873 426063042 804785746 1207178619 2414357238 3621535857 6935359517 7243071714 13870719034 20806078551 41612157102 62418235653 117901111789 124836471306 235802223578 353703335367 707406670734 1061110006101 2122220012202