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22002200121121 = 1171193227643031
BaseRepresentation
bin1010000000010110010010…
…10100101000111100100001
32212220101112011020002102021
411000023021110220330201
510340441001212333441
6114443400551221441
74430415013162153
oct500131124507441
985811464202367
1022002200121121
117013098410440
122574210377881
13c37a4c5bc90c
14560caadbaad3
152824db0a63d1
hex1402c9528f21

22002200121121 has 32 divisors (see below), whose sum is σ = 24574398990336. Its totient is φ = 19531650432000.

The previous prime is 22002200121103. The next prime is 22002200121149. The reversal of 22002200121121 is 12112100220022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22002200121121 - 27 = 22002200120993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22002200121095 and 22002200121104.

It is not an unprimeable number, because it can be changed into a prime (22002200121151) by changing a digit.

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, 33894876 + ... + 34537906.

It is an arithmetic number, because the mean of its divisors is an integer number (767949968448).

Almost surely, 222002200121121 is an apocalyptic number.

It is an amenable number.

22002200121121 is a deficient number, since it is larger than the sum of its proper divisors (2572198869215).

22002200121121 is a wasteful number, since it uses less digits than its factorization.

22002200121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643533.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22002200121121 its reverse (12112100220022), we get a palindrome (34114300341143).

The spelling of 22002200121121 in words is "twenty-two trillion, two billion, two hundred million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 71 193 227 781 2123 2497 13703 16117 43811 150733 177287 481921 643031 3110581 7073341 34216391 45655201 124104983 145968037 502207211 1365154813 1605648407 8811453793 10363730627 28171831141 96925991723 114001036897 309890142551 2000200011011 22002200121121