Search a number
-
+
21022120022021 = 177376212222761
BaseRepresentation
bin1001100011110100101111…
…11111110001000000000101
32202102200202200121110212122
410301322113333301000011
510223411300211201041
6112413232325255325
74266540505612016
oct461722777610005
982380680543778
1021022120022021
116775481785968
122436289564545
13b964ba2354b1
1452969436900d
15266c78537c4b
hex131e97ff1005

21022120022021 has 16 divisors (see below), whose sum is σ = 22566600096048. Its totient is φ = 19511920742400.

The previous prime is 21022120022009. The next prime is 21022120022143. The reversal of 21022120022021 is 12022002122012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1416361812100 + 19605758209921 = 1190110^2 + 4427839^2 .

It is a cyclic number.

It is not a de Polignac number, because 21022120022021 - 234 = 21004940152837 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022120024021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8346281 + ... + 10569041.

It is an arithmetic number, because the mean of its divisors is an integer number (1410412506003).

Almost surely, 221022120022021 is an apocalyptic number.

It is an amenable number.

21022120022021 is a deficient number, since it is larger than the sum of its proper divisors (1544480074027).

21022120022021 is a wasteful number, since it uses less digits than its factorization.

21022120022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230472.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21022120022021 its reverse (12022002122012), we get a palindrome (33044122144033).

The spelling of 21022120022021 in words is "twenty-one trillion, twenty-two billion, one hundred twenty million, twenty-two thousand, twenty-one".

Divisors: 1 17 73 1241 7621 129557 556333 2222761 9457661 37786937 162261553 2758446401 16939661581 287974246877 1236595295413 21022120022021