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2100300112 = 244153193313
BaseRepresentation
bin111110100110000…
…0000100101010000
312102101002022010001
41331030000211100
513300134100422
6544224415344
7103022153641
oct17514004520
95371068101
102100300112
11988623619
124a7477554
13276194641
1415cd276c8
15c45c6227
hex7d300950

2100300112 has 80 divisors (see below), whose sum is σ = 4282882128. Its totient is φ = 996802560.

The previous prime is 2100300091. The next prime is 2100300133. The reversal of 2100300112 is 2110030012.

It is an interprime number because it is at equal distance from previous prime (2100300091) and next prime (2100300133).

It can be written as a sum of positive squares in 8 ways, for example, as 780867136 + 1319432976 = 27944^2 + 36324^2 .

It is a super-2 number, since 2×21003001122 = 8822521120934425088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6710068 + ... + 6710380.

Almost surely, 22100300112 is an apocalyptic number.

It is an amenable number.

2100300112 is an abundant number, since it is smaller than the sum of its proper divisors (2182582016).

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

2100300112 is a wasteful number, since it uses less digits than its factorization.

2100300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2100300112 is about 45829.0313229507. The cubic root of 2100300112 is about 1280.6401648078.

Adding to 2100300112 its reverse (2110030012), we get a palindrome (4210330124).

The spelling of 2100300112 in words is "two billion, one hundred million, three hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 41 53 82 106 164 193 212 313 328 386 424 626 656 772 848 1252 1544 2173 2504 3088 4346 5008 7913 8692 10229 12833 15826 16589 17384 20458 25666 31652 33178 34768 40916 51332 60409 63304 66356 81832 102664 120818 126608 132712 163664 205328 241636 265424 419389 483272 680149 838778 966544 1360298 1677556 2476769 2720596 3201677 3355112 4953538 5441192 6403354 6710224 9907076 10882384 12806708 19814152 25613416 39628304 51226832 131268757 262537514 525075028 1050150056 2100300112