Search a number
-
+
102022112 = 2523138617
BaseRepresentation
bin1100001010010…
…11101111100000
321002222021000202
412011023233200
5202104201422
614042404332
72346113363
oct605135740
9232867022
10102022112
11526527a5
122a2006a8
13181a101a
14d79a0da
158e53b92
hex614bbe0

102022112 has 24 divisors (see below), whose sum is σ = 209590416. Its totient is φ = 48792832.

The previous prime is 102022111. The next prime is 102022121. The reversal of 102022112 is 211220201.

It is a happy number.

It is a super-2 number, since 2×1020221122 = 20817022673881088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102022093 and 102022102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68573 + ... + 70044.

It is an arithmetic number, because the mean of its divisors is an integer number (8732934).

Almost surely, 2102022112 is an apocalyptic number.

It is an amenable number.

102022112 is an abundant number, since it is smaller than the sum of its proper divisors (107568304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022112 is a wasteful number, since it uses less digits than its factorization.

102022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138650 (or 138642 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102022112 is about 10100.5995861632. The cubic root of 102022112 is about 467.2666333153.

Adding to 102022112 its reverse (211220201), we get a palindrome (313242313).

It can be divided in two parts, 1020 and 22112, that added together give a palindrome (23132).

The spelling of 102022112 in words is "one hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 138617 277234 554468 1108936 2217872 3188191 4435744 6376382 12752764 25505528 51011056 102022112