Search a number
-
+
10222112002221 = 337173181485217
BaseRepresentation
bin1001010011000000010101…
…0110101101000010101101
31100012020001120011000222000
42110300011112231002231
52314434341133032341
633423550132042513
72103344315251140
oct224600526550255
940166046130860
1010222112002221
11329119a80a819
121191144763439
13591c30583182
14274a77bc8057
1512ad7976b8b6
hex94c055ad0ad

10222112002221 has 32 divisors (see below), whose sum is σ = 18325354855680. Its totient is φ = 5497606453248.

The previous prime is 10222112002147. The next prime is 10222112002237. The reversal of 10222112002221 is 12220021122201.

It is a happy number.

10222112002221 is a `hidden beast` number, since 10 + 22 + 211 + 200 + 2 + 221 = 666.

It is not a de Polignac number, because 10222112002221 - 221 = 10222109905069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10222112002194 and 10222112002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222112002261) 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 31 ways as a sum of consecutive naturals, for example, 1590739396 + ... + 1590745821.

It is an arithmetic number, because the mean of its divisors is an integer number (572667339240).

Almost surely, 210222112002221 is an apocalyptic number.

It is an amenable number.

10222112002221 is a deficient number, since it is larger than the sum of its proper divisors (8103242853459).

10222112002221 is a wasteful number, since it uses less digits than its factorization.

10222112002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181485250 (or 3181485244 counting only the distinct ones).

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

Adding to 10222112002221 its reverse (12220021122201), we get a palindrome (22442133124422).

The spelling of 10222112002221 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 3181485217 9544455651 22270396519 28633366953 54085248689 66811189557 85900100859 162255746067 200433568671 378596740823 486767238201 601300706013 1135790222469 1460301714603 3407370667407 10222112002221