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20021222011122 = 2321112290111729
BaseRepresentation
bin1001000110101100011011…
…10100110111000011110010
32121220000021101102101000200
410203112031310313003302
510111011430313323442
6110325342235300030
74134325355110263
oct443261564670362
977800241371020
1020021222011122
116419a52967102
1222b42b68aa616
13b22cbabbb777
144d306496296a
1524abe803934c
hex12358dd370f2

20021222011122 has 12 divisors (see below), whose sum is σ = 43379314357470. Its totient is φ = 6673740670368.

The previous prime is 20021222011061. The next prime is 20021222011139. The reversal of 20021222011122 is 22111022212002.

It is a happy number.

20021222011122 is a `hidden beast` number, since 200 + 212 + 220 + 1 + 11 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11899457294481 + 8121764716641 = 3449559^2 + 2849871^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1112290111729 = 20021222011122 / (2 + 0 + 0 + 2 + 1 + 2 + 2 + 2 + 0 + 1 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 20021222011095 and 20021222011104.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 556145055847 + ... + 556145055882.

Almost surely, 220021222011122 is an apocalyptic number.

20021222011122 is an abundant number, since it is smaller than the sum of its proper divisors (23358092346348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20021222011122 is a wasteful number, since it uses less digits than its factorization.

20021222011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112290111737 (or 1112290111734 counting only the distinct ones).

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

Adding to 20021222011122 its reverse (22111022212002), we get a palindrome (42132244223124).

The spelling of 20021222011122 in words is "twenty trillion, twenty-one billion, two hundred twenty-two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1112290111729 2224580223458 3336870335187 6673740670374 10010611005561 20021222011122