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111102022330020 = 223251570373930497
BaseRepresentation
bin11001010000101111110100…
…100100110010011010100100
3112120101020201221222120002200
4121100233310210302122210
5104030243420204030040
61032143321530534500
732254566454001151
oct3120576444623244
9476336657876080
10111102022330020
11324451151aa707
1210564396597430
1349cbb500418c7
141d6151bc37228
15cca0429d7630
hex650bf49326a4

111102022330020 has 72 divisors (see below), whose sum is σ = 337011699528504. Its totient is φ = 29627009753088.

The previous prime is 111102022330007. The next prime is 111102022330049. The reversal of 111102022330020 is 20033220201111.

111102022330020 is a `hidden beast` number, since 1 + 1 + 110 + 202 + 2 + 330 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44900399002176 + 66201623327844 = 6700776^2 + 8136438^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111102022329975 and 111102022330002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26301412 + ... + 30231908.

It is an arithmetic number, because the mean of its divisors is an integer number (4680718049007).

Almost surely, 2111102022330020 is an apocalyptic number.

111102022330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111102022330020 is an abundant number, since it is smaller than the sum of its proper divisors (225909677198484).

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

111102022330020 is a wasteful number, since it uses less digits than its factorization.

111102022330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087549 (or 4087544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 111102022330020 its reverse (20033220201111), we get a palindrome (131135242531131).

The spelling of 111102022330020 in words is "one hundred eleven trillion, one hundred two billion, twenty-two million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 157037 314074 471111 628148 785185 942222 1413333 1570370 1884444 2355555 2826666 3140740 3930497 4711110 5653332 7066665 7860994 9422220 11791491 14133330 15721988 19652485 23582982 28266660 35374473 39304970 47165964 58957455 70748946 78609940 117914910 141497892 176872365 235829820 353744730 707489460 617233457389 1234466914778 1851700372167 2468933829556 3086167286945 3703400744334 5555101116501 6172334573890 7406801488668 9258501860835 11110202233002 12344669147780 18517003721670 22220404466004 27775505582505 37034007443340 55551011165010 111102022330020