Search a number
-
+
10222202220021 = 3311191811483647
BaseRepresentation
bin1001010011000000101010…
…1110110110110111110101
31100012020021211220120112000
42110300022232312313311
52314440032232020041
633424003113445513
72103346462141611
oct224601256666765
940166254816460
1010222202220021
11329123672a790
12119116aa10899
13591c4618029c
14274a85b90341
1512ad8263cbb6
hex94c0abb6df5

10222202220021 has 32 divisors (see below), whose sum is σ = 17390243020800. Its totient is φ = 5869207013040.

The previous prime is 10222202220019. The next prime is 10222202220029. The reversal of 10222202220021 is 12002220222201.

10222202220021 is a `hidden beast` number, since 1 + 0 + 222 + 202 + 220 + 0 + 21 = 666.

It is not a de Polignac number, because 10222202220021 - 21 = 10222202220019 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10222202219976 and 10222202220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222202220029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905736181 + ... + 905747466.

It is an arithmetic number, because the mean of its divisors is an integer number (543445094400).

Almost surely, 210222202220021 is an apocalyptic number.

10222202220021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222202220021 is a deficient number, since it is larger than the sum of its proper divisors (7168040800779).

10222202220021 is a wasteful number, since it uses less digits than its factorization.

10222202220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811483686 (or 1811483680 counting only the distinct ones).

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

Adding to 10222202220021 its reverse (12002220222201), we get a palindrome (22224422442222).

The spelling of 10222202220021 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 5643 1811483647 5434450941 16303352823 19926320117 34418189293 48910058469 59778960351 103254567879 179336881053 309763703637 378600082223 538010643159 929291110911 1135800246669 3407400740007 10222202220021