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1022112221121 = 32199761621283
BaseRepresentation
bin11101101111110101010…
…00101100011111000001
310121201020202110122101200
432313322220230133001
5113221241212033441
62101315112051413
7133562615350005
oct16677250543701
93551222418350
101022112221121
1136452577aa02
12146113393b69
137550044cb54
143768307a705
151b8c2b607b6
hexedfaa2c7c1

1022112221121 has 24 divisors (see below), whose sum is σ = 1570110316320. Its totient is φ = 638889451776.

The previous prime is 1022112221113. The next prime is 1022112221149. The reversal of 1022112221121 is 1211222112201.

It is not a de Polignac number, because 1022112221121 - 23 = 1022112221113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022112221094 and 1022112221103.

It is not an unprimeable number, because it can be changed into a prime (1022112221171) 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 23 ways as a sum of consecutive naturals, for example, 30794055 + ... + 30827228.

It is an arithmetic number, because the mean of its divisors is an integer number (65421263180).

Almost surely, 21022112221121 is an apocalyptic number.

It is an amenable number.

1022112221121 is a deficient number, since it is larger than the sum of its proper divisors (547998095199).

1022112221121 is a wasteful number, since it uses less digits than its factorization.

1022112221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61621405 (or 61621402 counting only the distinct ones).

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

Adding to 1022112221121 its reverse (1211222112201), we get a palindrome (2233334333322).

The spelling of 1022112221121 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 19 57 97 171 291 873 1843 5529 16587 61621283 184863849 554591547 1170804377 3512413131 5977264451 10537239393 17931793353 53795380059 113568024569 340704073707 1022112221121