Search a number
-
+
111202112001012 = 22355773922512937
BaseRepresentation
bin11001010010001101000010…
…011000100101001111110100
3112120201211002101100122211020
4121102031002120211033310
5104033413411133013022
61032301313415541140
732265042000112134
oct3122150230451764
9476654071318736
10111202112001012
113248360721196a
121057b86a38a7b0
134a084112b95b6
141d662d4b5aac4
15ccc94ea3635c
hex6523426253f4

111202112001012 has 48 divisors (see below), whose sum is σ = 260289186050880. Its totient is φ = 36950752012032.

The previous prime is 111202112001007. The next prime is 111202112001017. The reversal of 111202112001012 is 210100211202111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111202112001007) and next prime (111202112001017).

It is a junction number, because it is equal to n+sod(n) for n = 111202112000982 and 111202112001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111202112001017) 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, 6316993 + ... + 16195944.

It is an arithmetic number, because the mean of its divisors is an integer number (5422691376060).

Almost surely, 2111202112001012 is an apocalyptic number.

111202112001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111202112001012 is an abundant number, since it is smaller than the sum of its proper divisors (149087074049868).

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

111202112001012 is a wasteful number, since it uses less digits than its factorization.

111202112001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22514240 (or 22514238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111202112001012 its reverse (210100211202111), we get a palindrome (321302323203123).

The spelling of 111202112001012 in words is "one hundred eleven trillion, two hundred two billion, one hundred twelve million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 557 739 1114 1478 1671 2217 2228 2956 3342 4434 6684 8868 411623 823246 1234869 1646492 2469738 4939476 22512937 45025874 67538811 90051748 135077622 270155244 12539705909 16637060443 25079411818 33274120886 37619117727 49911181329 50158823636 66548241772 75238235454 99822362658 150476470908 199644725316 9266842666751 18533685333502 27800528000253 37067370667004 55601056000506 111202112001012