Search a number
-
+
20222121001122 = 2334120894372307
BaseRepresentation
bin1001001100100010101000…
…10101101100000010100010
32122121012211101022110222000
410212101110111230002202
510122304400434013442
6111001525242024430
74155000003255345
oct446212425540242
978535741273860
1020222121001122
11649717612a847
1223272234a8116
13b38c2653c691
144dca821ba45c
1525105538ad4c
hex12645456c0a2

20222121001122 has 64 divisors (see below), whose sum is σ = 46056143548800. Its totient is φ = 6573149948160.

The previous prime is 20222121001051. The next prime is 20222121001151. The reversal of 20222121001122 is 22110012122202.

It is a happy number.

20222121001122 is a `hidden beast` number, since 202 + 221 + 210 + 0 + 11 + 22 = 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 = 20222121001095 and 20222121001104.

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 31 ways as a sum of consecutive naturals, for example, 2438893 + ... + 6811199.

It is an arithmetic number, because the mean of its divisors is an integer number (719627242950).

Almost surely, 220222121001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222121001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23028071774400).

20222121001122 is an abundant number, since it is smaller than the sum of its proper divisors (25834022547678).

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

20222121001122 is a wasteful number, since it uses less digits than its factorization.

20222121001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374448 (or 4374442 counting only the distinct ones).

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

Adding to 20222121001122 its reverse (22110012122202), we get a palindrome (42332133123324).

The spelling of 20222121001122 in words is "twenty trillion, two hundred twenty-two billion, one hundred twenty-one million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2089 2214 4178 6267 12534 18801 37602 56403 85649 112806 171298 256947 513894 770841 1541682 2312523 4372307 4625046 8744614 13116921 26233842 39350763 78701526 118052289 179264587 236104578 358529174 537793761 1075587522 1613381283 3226762566 4840143849 9133749323 9680287698 18267498646 27401247969 54802495938 82203743907 164407487814 246611231721 374483722243 493222463442 748967444486 1123451166729 2246902333458 3370353500187 6740707000374 10111060500561 20222121001122