Search a number
-
+
2112115235636 = 2272101106694041
BaseRepresentation
bin11110101111000011111…
…000001101101100110100
321110220201221102221010202
4132233003320031230310
5234101103000020021
64254143051340032
7305411120166200
oct36570370155464
97426657387122
102112115235636
11744819a9581a
122a1413151618
13124230054aa3
1474326967b00
1539e1ab4ba0b
hex1ebc3e0db34

2112115235636 has 36 divisors (see below), whose sum is σ = 4342234121316. Its totient is φ = 896229936000.

The previous prime is 2112115235617. The next prime is 2112115235639. The reversal of 2112115235636 is 6365325112112.

It can be written as a sum of positive squares in 2 ways, for example, as 1815907173136 + 296208062500 = 1347556^2 + 544250^2 .

It is a super-2 number, since 2×21121152356362 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112115235636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112115235639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53327225 + ... + 53366816.

It is an arithmetic number, because the mean of its divisors is an integer number (120617614481).

Almost surely, 22112115235636 is an apocalyptic number.

It is an amenable number.

2112115235636 is an abundant number, since it is smaller than the sum of its proper divisors (2230118885680).

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

2112115235636 is a wasteful number, since it uses less digits than its factorization.

2112115235636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106694160 (or 106694151 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The spelling of 2112115235636 in words is "two trillion, one hundred twelve billion, one hundred fifteen million, two hundred thirty-five thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 1414 2828 4949 9898 19796 106694041 213388082 426776164 746858287 1493716574 2987433148 5228008009 10456016018 10776098141 20912032036 21552196282 43104392564 75432686987 150865373974 301730747948 528028808909 1056057617818 2112115235636