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12030311111100 = 2235240101037037
BaseRepresentation
bin1010111100010000011001…
…1010111001100110111100
31120121002100001210002100220
42233010012122321212330
53034101034121023400
641330352034221340
72351106216135552
oct257040632714674
946532301702326
1012030311111100
113919031aa1247
12142367aa24850
136935b8372c99
142d83ad48dbd2
1515ce090007a0
hexaf1066b99bc

12030311111100 has 36 divisors (see below), whose sum is σ = 34807700148984. Its totient is φ = 3208082962880.

The previous prime is 12030311111081. The next prime is 12030311111107. The reversal of 12030311111100 is 111111303021.

It is a super-2 number, since 2×120303111111002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12030311111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030311111107) 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, 20050518219 + ... + 20050518818.

It is an arithmetic number, because the mean of its divisors is an integer number (966880559694).

Almost surely, 212030311111100 is an apocalyptic number.

12030311111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12030311111100 is an abundant number, since it is smaller than the sum of its proper divisors (22777389037884).

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

12030311111100 is a wasteful number, since it uses less digits than its factorization.

12030311111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40101037054 (or 40101037047 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 12030311111100 its reverse (111111303021), we get a palindrome (12141422414121).

The spelling of 12030311111100 in words is "twelve trillion, thirty billion, three hundred eleven million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40101037037 80202074074 120303111111 160404148148 200505185185 240606222222 401010370370 481212444444 601515555555 802020740740 1002525925925 1203031111110 2005051851850 2406062222220 3007577777775 4010103703700 6015155555550 12030311111100