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112211330100 = 223521812066507
BaseRepresentation
bin110100010000001010…
…0010000010000110100
3101201122012102011222220
41220200110100100310
53314302100030400
6123314342122340
711051462365662
oct1504024202064
9351565364886
10112211330100
1143652409151
12198b74203b0
13a77369765c
145606b6dc32
152dbb3017a0
hex1a20510434

112211330100 has 72 divisors (see below), whose sum is σ = 326458667808. Its totient is φ = 29757686400.

The previous prime is 112211330059. The next prime is 112211330107. The reversal of 112211330100 is 1033112211.

It is a happy number.

It is a super-2 number, since 2×1122113301002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112211330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211330107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978954 + ... + 1087553.

It is an arithmetic number, because the mean of its divisors is an integer number (4534148164).

Almost surely, 2112211330100 is an apocalyptic number.

112211330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211330100 is an abundant number, since it is smaller than the sum of its proper divisors (214247337708).

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

112211330100 is a wasteful number, since it uses less digits than its factorization.

112211330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066705 (or 2066698 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112211330100 its reverse (1033112211), we get a palindrome (113244442311).

The spelling of 112211330100 in words is "one hundred twelve billion, two hundred eleven million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 724 905 1086 1810 2172 2715 3620 4525 5430 9050 10860 13575 18100 27150 54300 2066507 4133014 6199521 8266028 10332535 12399042 20665070 24798084 30997605 41330140 51662675 61995210 103325350 123990420 154988025 206650700 309976050 374037767 619952100 748075534 1122113301 1496151068 1870188835 2244226602 3740377670 4488453204 5610566505 7480755340 9350944175 11221133010 18701888350 22442266020 28052832525 37403776700 56105665050 112211330100