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100022101212 = 223112273333367
BaseRepresentation
bin101110100100111001…
…0000010010011011100
3100120011201020012102010
41131021302002103130
53114321124214322
6113541032431220
710140432555345
oct1351162022334
9316151205363
10100022101212
1139467961070
1217475248510
13958027a397
144babd750cc
15290615320c
hex1749c824dc

100022101212 has 48 divisors (see below), whose sum is σ = 254714487552. Its totient is φ = 30296302080.

The previous prime is 100022101181. The next prime is 100022101229. The reversal of 100022101212 is 212101220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133353 + ... + 466719.

It is an arithmetic number, because the mean of its divisors is an integer number (5306551824).

Almost surely, 2100022101212 is an apocalyptic number.

100022101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022101212 is an abundant number, since it is smaller than the sum of its proper divisors (154692386340).

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

100022101212 is a wasteful number, since it uses less digits than its factorization.

100022101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335658 (or 335656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022101212 its reverse (212101220001), we get a palindrome (312123321213).

The spelling of 100022101212 in words is "one hundred billion, twenty-two million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2273 4546 6819 9092 13638 25003 27276 50006 75009 100012 150018 300036 333367 666734 1000101 1333468 2000202 3667037 4000404 7334074 11001111 14668148 22002222 44004444 757743191 1515486382 2273229573 3030972764 4546459146 8335175101 9092918292 16670350202 25005525303 33340700404 50011050606 100022101212