Search a number
-
+
1022120222211 = 3211191709317959
BaseRepresentation
bin11101101111110110001…
…11001101111000000011
310121201021022112010211100
432313323013031320003
5113221300234102321
62101315555345443
7133563043352544
oct16677307157003
93551238463740
101022120222211
1136452a245280
12146115bb2283
1375501cc191a
14376841604cb
151b8c36e1326
hexedfb1cde03

1022120222211 has 48 divisors (see below), whose sum is σ = 1696380192000. Its totient is φ = 586518045120.

The previous prime is 1022120222171. The next prime is 1022120222239. The reversal of 1022120222211 is 1122220212201.

It is a happy number.

1022120222211 is a `hidden beast` number, since 10 + 221 + 2 + 0 + 222 + 211 = 666.

It is not a de Polignac number, because 1022120222211 - 221 = 1022118125059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022120222251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3055650 + ... + 3373608.

It is an arithmetic number, because the mean of its divisors is an integer number (35341254000).

Almost surely, 21022120222211 is an apocalyptic number.

1022120222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1022120222211 is a deficient number, since it is larger than the sum of its proper divisors (674259969789).

1022120222211 is a wasteful number, since it uses less digits than its factorization.

1022120222211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319704 (or 319701 counting only the distinct ones).

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

Adding to 1022120222211 its reverse (1122220212201), we get a palindrome (2144340434412).

The spelling of 1022120222211 in words is "one trillion, twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1709 1881 5127 15381 18799 32471 56397 97413 169191 292239 317959 357181 953877 1071543 2861631 3214629 3497549 6041221 10492647 18123663 31477941 54370989 66453431 199360293 543391931 598080879 1630175793 4890527379 5977311241 10324446689 17931933723 30973340067 53795801169 92920020201 113568913579 340706740737 1022120222211