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2101224112 = 241347593643
BaseRepresentation
bin111110100111110…
…0010001010110000
312102102211020121021
41331033202022300
513300403132422
6544300305224
7103033052551
oct17517421260
95372736537
102101224112
119890a4859
124a7842214
132764290a0
1415d0c8328
15c4709dc7
hex7d3e22b0

2101224112 has 80 divisors (see below), whose sum is σ = 4554708480. Its totient is φ = 932818176.

The previous prime is 2101224107. The next prime is 2101224119. The reversal of 2101224112 is 2114221012.

It is a super-3 number, since 3×21012241123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2101224119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574963 + ... + 578605.

It is an arithmetic number, because the mean of its divisors is an integer number (56933856).

Almost surely, 22101224112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277354240).

2101224112 is an abundant number, since it is smaller than the sum of its proper divisors (2453484368).

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

2101224112 is a wasteful number, since it uses less digits than its factorization.

2101224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2101224112 is about 45839.1111606672. Note that the first 4 decimals coincide. The cubic root of 2101224112 is about 1280.8279376600.

Adding to 2101224112 its reverse (2114221012), we get a palindrome (4215445124).

The spelling of 2101224112 in words is "two billion, one hundred one million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 47 52 59 94 104 118 188 208 236 376 472 611 752 767 944 1222 1534 2444 2773 3068 3643 4888 5546 6136 7286 9776 11092 12272 14572 22184 29144 36049 44368 47359 58288 72098 94718 144196 171221 189436 214937 288392 342442 378872 429874 576784 684884 757744 859748 1369768 1719496 2225873 2739536 2794181 3438992 4451746 5588362 8903492 10102039 11176724 17806984 20204078 22353448 35613968 40408156 44706896 80816312 131326507 161632624 262653014 525306028 1050612056 2101224112