Search a number
-
+
22002122111121 = 338531171815821
BaseRepresentation
bin1010000000010110001001…
…01011000011100010010001
32212220101022201102202211000
411000023010223003202101
510340440321230023441
6114443345123212213
74430413045124565
oct500130453034221
985811281382730
1022002122111121
117013058379369
1225741aa217069
13c37a393a8259
14560ca08b16a5
152824d42e72b6
hex1402c4ac3891

22002122111121 has 32 divisors (see below), whose sum is σ = 32661857997440. Its totient is φ = 14638356158400.

The previous prime is 22002122111107. The next prime is 22002122111131. The reversal of 22002122111121 is 12111122120022.

22002122111121 is a `hidden beast` number, since 220 + 0 + 212 + 2 + 111 + 121 = 666.

It is not a de Polignac number, because 22002122111121 - 210 = 22002122110097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22002122111094 and 22002122111103.

It is not an unprimeable number, because it can be changed into a prime (22002122111131) 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, 26561391 + ... + 27377211.

It is an arithmetic number, because the mean of its divisors is an integer number (1020683062420).

Almost surely, 222002122111121 is an apocalyptic number.

It is an amenable number.

22002122111121 is a deficient number, since it is larger than the sum of its proper divisors (10659735886319).

22002122111121 is a wasteful number, since it uses less digits than its factorization.

22002122111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817854 (or 817848 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22002122111121 its reverse (12111122120022), we get a palindrome (34113244231143).

The spelling of 22002122111121 in words is "twenty-two trillion, two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 27 853 1171 2559 3513 7677 10539 23031 31617 815821 998863 2447463 2996589 7342389 8989767 22027167 26969301 695895313 955326391 2087685939 2865979173 6263057817 8597937519 18789173451 25793812557 814893411523 2444680234569 7334040703707 22002122111121