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100022332112 = 2415761396637
BaseRepresentation
bin101110100100111001…
…0111010101011010000
3100120011201122221010222
41131021302322223100
53114321204111422
6113541041412212
710140434536463
oct1351162725320
9316151587128
10100022332112
1139467aa959a
121747533a068
13958032b501
144babdd52da
15290619b842
hex1749cbaad0

100022332112 has 20 divisors (see below), whose sum is σ = 193806052836. Its totient is φ = 50007866880.

The previous prime is 100022332093. The next prime is 100022332117. The reversal of 100022332112 is 211233220001.

It can be written as a sum of positive squares in 2 ways, for example, as 82332268096 + 17690064016 = 286936^2 + 133004^2 .

It is a super-2 number, since 2×1000223321122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022332117) 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 3 ways as a sum of consecutive naturals, for example, 53858 + ... + 450494.

Almost surely, 2100022332112 is an apocalyptic number.

It is an amenable number.

100022332112 is a deficient number, since it is larger than the sum of its proper divisors (93783720724).

100022332112 is a wasteful number, since it uses less digits than its factorization.

100022332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412406 (or 412400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100022332112 its reverse (211233220001), we get a palindrome (311255552113).

The spelling of 100022332112 in words is "one hundred billion, twenty-two million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 15761 31522 63044 126088 252176 396637 793274 1586548 3173096 6346192 6251395757 12502791514 25005583028 50011166056 100022332112