Search a number
-
+
22012001122021 = 172989293500029
BaseRepresentation
bin1010000000101000100011…
…00000011111011011100101
32212221022211012112112002121
411000110101200133123211
510341121034241401041
6114452101304505541
74431212623255621
oct500242140373345
985838735475077
1022012001122021
117017267866489
1225760a677b2b1
13c38951cb3531
1456155a93c181
152828b17567d1
hex14051181f6e5

22012001122021 has 16 divisors (see below), whose sum is σ = 24110826562800. Its totient is φ = 20002528078848.

The previous prime is 22012001121937. The next prime is 22012001122031. The reversal of 22012001122021 is 12022110021022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 629570837025 + 21382430284996 = 793455^2 + 4624114^2 .

It is a cyclic number.

It is not a de Polignac number, because 22012001122021 - 217 = 22012000990949 is a prime.

It is a super-3 number, since 3×220120011220213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22012001121986 and 22012001122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012001122031) 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 15 ways as a sum of consecutive naturals, for example, 43771435 + ... + 44271463.

It is an arithmetic number, because the mean of its divisors is an integer number (1506926660175).

Almost surely, 222012001122021 is an apocalyptic number.

It is an amenable number.

22012001122021 is a deficient number, since it is larger than the sum of its proper divisors (2098825440779).

22012001122021 is a wasteful number, since it uses less digits than its factorization.

22012001122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589368.

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

Adding to 22012001122021 its reverse (12022110021022), we get a palindrome (34034111143043).

The spelling of 22012001122021 in words is "twenty-two trillion, twelve billion, one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 17 29 493 89293 500029 1517981 2589497 8500493 14500841 44021449 246514297 44649089497 759034521449 1294823595413 22012001122021