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22122131111021 = 372137279782609
BaseRepresentation
bin1010000011110101101011…
…10001000011110001101101
32220022212002100112121212002
411001322311301003301231
510344422111031023041
6115014433340422045
74442162013603014
oct501726561036155
986285070477762
1022122131111021
117059a41320217
122593500b47925
13c461533c3bb6
14566a070bba7b
152856a9e7959b
hex141eb5c43c6d

22122131111021 has 8 divisors (see below), whose sum is σ = 22730658366840. Its totient is φ = 21514163424768.

The previous prime is 22122131110997. The next prime is 22122131111137. The reversal of 22122131111021 is 12011113122122.

It can be written as a sum of positive squares in 4 ways, for example, as 4721613796 + 22117409497225 = 68714^2 + 4702915^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22122131111021 - 26 = 22122131110957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22122131110984 and 22122131111002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122131111221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139812236 + ... + 139970373.

It is an arithmetic number, because the mean of its divisors is an integer number (2841332295855).

Almost surely, 222122131111021 is an apocalyptic number.

It is an amenable number.

22122131111021 is a deficient number, since it is larger than the sum of its proper divisors (608527255819).

22122131111021 is a wasteful number, since it uses less digits than its factorization.

22122131111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279784783.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 22122131111021 its reverse (12011113122122), we get a palindrome (34133244233143).

The spelling of 22122131111021 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred eleven thousand, twenty-one".

Divisors: 1 37 2137 79069 279782609 10351956533 597895435433 22122131111021