Search a number
-
+
1022110112121 = 37192561679479
BaseRepresentation
bin11101101111110101000…
…00101001100101111001
310121201020121111111101120
432313322200221211321
5113221240142041441
62101314554535453
7133562561414220
oct16677240514571
93551217444346
101022110112121
1136452456a42a
12146112737589
13754ccb91c17
1437682a8bcb7
151b8c2895966
hexedfa829979

1022110112121 has 16 divisors (see below), whose sum is σ = 1639474867200. Its totient is φ = 553322767248.

The previous prime is 1022110112099. The next prime is 1022110112129. The reversal of 1022110112121 is 1212110112201.

It is a happy number.

It is not a de Polignac number, because 1022110112121 - 26 = 1022110112057 is a prime.

It is a super-2 number, since 2×10221101121212 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1022110112121.

It is not an unprimeable number, because it can be changed into a prime (1022110112129) 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 15 ways as a sum of consecutive naturals, for example, 1280839341 + ... + 1280840138.

It is an arithmetic number, because the mean of its divisors is an integer number (102467179200).

Almost surely, 21022110112121 is an apocalyptic number.

It is an amenable number.

1022110112121 is a deficient number, since it is larger than the sum of its proper divisors (617364755079).

1022110112121 is a wasteful number, since it uses less digits than its factorization.

1022110112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561679508.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1022110112121 its reverse (1212110112201), we get a palindrome (2234220224322).

The spelling of 1022110112121 in words is "one trillion, twenty-two billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 399 2561679479 7685038437 17931756353 48671910101 53795269059 146015730303 340703370707 1022110112121