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20222102101121 = 179740897299857
BaseRepresentation
bin1001001100100010100110…
…01101100101110010000001
32122121012210001202021000222
410212101103031211302001
510122304331114213441
6111001523324552425
74154666353520324
oct446212315456201
978535701667028
1020222102101121
1164971664a0a08
1223272190b2715
13b38c22652b4b
144dca7d89a7bb
152510538a5d4b
hex126453365c81

20222102101121 has 16 divisors (see below), whose sum is σ = 21632977141776. Its totient is φ = 18835831259136.

The previous prime is 20222102101093. The next prime is 20222102101127. The reversal of 20222102101121 is 12110120122202.

It can be written as a sum of positive squares in 8 ways, for example, as 3576028499521 + 16646073601600 = 1891039^2 + 4079960^2 .

It is a cyclic number.

It is not a de Polignac number, because 20222102101121 - 26 = 20222102101057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20222102101121.

It is not an unprimeable number, because it can be changed into a prime (20222102101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67289225 + ... + 67589081.

It is an arithmetic number, because the mean of its divisors is an integer number (1352061071361).

Almost surely, 220222102101121 is an apocalyptic number.

It is an amenable number.

20222102101121 is a deficient number, since it is larger than the sum of its proper divisors (1410875040655).

20222102101121 is a wasteful number, since it uses less digits than its factorization.

20222102101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340868.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20222102101121 its reverse (12110120122202), we get a palindrome (32332222223323).

The spelling of 20222102101121 in words is "twenty trillion, two hundred twenty-two billion, one hundred two million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 17 97 1649 40897 299857 695249 3967009 5097569 29086129 67439153 494464193 12263251729 208475279393 1189535417713 20222102101121