Search a number
-
+
1122002112121 = 11234619619937
BaseRepresentation
bin10000010100111100100…
…010011000111001111001
310222021002020220212111021
4100110330202120321321
5121340330020041441
62215235103102441
7144030154411012
oct20247442307171
93867066825437
101122002112121
113a2924a3a530
121615502a1a21
1381a5c1b9727
143c43b638009
151e2bc39a3d1
hex1053c898e79

1122002112121 has 16 divisors (see below), whose sum is σ = 1279990470528. Its totient is φ = 973537523200.

The previous prime is 1122002112107. The next prime is 1122002112139. The reversal of 1122002112121 is 1212112002211.

It is not a de Polignac number, because 1122002112121 - 221 = 1122000014969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122002112095 and 1122002112104.

It is not an unprimeable number, because it can be changed into a prime (1122002112181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4693336 + ... + 4926601.

It is an arithmetic number, because the mean of its divisors is an integer number (79999404408).

Almost surely, 21122002112121 is an apocalyptic number.

1122002112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122002112121 is a deficient number, since it is larger than the sum of its proper divisors (157988358407).

1122002112121 is a wasteful number, since it uses less digits than its factorization.

1122002112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620432.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122002112121 its reverse (1212112002211), we get a palindrome (2334114114332).

The spelling of 1122002112121 in words is "one trillion, one hundred twenty-two billion, two million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 11 23 253 461 5071 10603 116633 9619937 105819307 221258551 2433844061 4434790957 48782700527 102000192011 1122002112121