Search a number
-
+
10022012111 = 233976831607
BaseRepresentation
bin10010101010101101…
…11100010011001111
3221212110011222001202
421111112330103033
5131011113341421
64334250300115
7503232461126
oct112526742317
927773158052
1010022012111
11428318a041
121b3842763b
13c394266a7
146b1052abd
153d9caa10b
hex2555bc4cf

10022012111 has 16 divisors (see below), whose sum is σ = 10505977344. Its totient is φ = 9542183904.

The previous prime is 10022012069. The next prime is 10022012113. The reversal of 10022012111 is 11121022001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022012111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022012092 and 10022012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022012113) 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, 6235670 + ... + 6237276.

It is an arithmetic number, because the mean of its divisors is an integer number (656623584).

Almost surely, 210022012111 is an apocalyptic number.

10022012111 is a deficient number, since it is larger than the sum of its proper divisors (483965233).

10022012111 is a wasteful number, since it uses less digits than its factorization.

10022012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710.

The product of its (nonzero) digits is 8, while the sum is 11.

Subtracting from 10022012111 its sum of digits (11), we obtain a square (10022012100 = 1001102).

Adding to 10022012111 its reverse (11121022001), we get a palindrome (21143034112).

The spelling of 10022012111 in words is "ten billion, twenty-two million, twelve thousand, one hundred eleven".

Divisors: 1 23 397 683 1607 9131 15709 36961 271151 637979 1097581 6236473 14673517 25244363 435739657 10022012111