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2221100112 = 243711600947
BaseRepresentation
bin1000010001100011…
…0100110001010000
312201210101120120010
42010120310301100
514022100200422
61004221514520
7106020016350
oct20430646120
95653346503
102221100112
11a3a831430
1251ba12a40
1329520b72a
14170db0b60
15ceed8b0c
hex84634c50

2221100112 has 80 divisors (see below), whose sum is σ = 7153684992. Its totient is φ = 576908160.

The previous prime is 2221100081. The next prime is 2221100129. The reversal of 2221100112 is 2110011222.

It is a super-3 number, since 3×22211001123 (a number of 29 digits) contains 333 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296778 + ... + 304169.

Almost surely, 22221100112 is an apocalyptic number.

2221100112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2221100112 is an abundant number, since it is smaller than the sum of its proper divisors (4932584880).

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

2221100112 is a wasteful number, since it uses less digits than its factorization.

2221100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600976 (or 600970 counting only the distinct ones).

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

The square root of 2221100112 is about 47128.5488000639. The cubic root of 2221100112 is about 1304.7361977593.

Adding to 2221100112 its reverse (2110011222), we get a palindrome (4331111334).

It can be divided in two parts, 22 and 21100112, that multiplied together give a palindrome (464202464).

The spelling of 2221100112 in words is "two billion, two hundred twenty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 600947 1201894 1802841 2403788 3605682 4206629 4807576 6610417 7211364 8413258 9615152 12619887 13220834 14422728 16826516 19831251 25239774 26441668 28845456 33653032 39662502 46272919 50479548 52883336 67306064 79325004 92545838 100959096 105766672 138818757 158650008 185091676 201918192 277637514 317300016 370183352 555275028 740366704 1110550056 2221100112