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11120103312 = 243416838273
BaseRepresentation
bin10100101101100111…
…10100111110010000
31001200222102210000020
422112303310332100
5140233221301222
65035234223440
7542365214163
oct122663647620
931628383006
1011120103312
11479701022a
1221a4124b80
131082a895b6
14776c15ada
154513b565c
hex296cf4f90

11120103312 has 80 divisors (see below), whose sum is σ = 29474238528. Its totient is φ = 3610562560.

The previous prime is 11120103311. The next prime is 11120103317. The reversal of 11120103312 is 21330102111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11120103291 and 11120103300.

It is not an unprimeable number, because it can be changed into a prime (11120103311) 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, 1340008 + ... + 1348280.

Almost surely, 211120103312 is an apocalyptic number.

11120103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737119264).

11120103312 is an abundant number, since it is smaller than the sum of its proper divisors (18354135216).

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

11120103312 is a wasteful number, since it uses less digits than its factorization.

11120103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11120103312 its reverse (21330102111), we get a palindrome (32450205423).

The spelling of 11120103312 in words is "eleven billion, one hundred twenty million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 683 984 1366 1968 2049 2732 4098 5464 8196 8273 10928 16392 16546 24819 28003 32784 33092 49638 56006 66184 84009 99276 112012 132368 168018 198552 224024 336036 339193 397104 448048 672072 678386 1017579 1344144 1356772 2035158 2713544 4070316 5427088 5650459 8140632 11300918 16281264 16951377 22601836 33902754 45203672 67805508 90407344 135611016 231668819 271222032 463337638 695006457 926675276 1390012914 1853350552 2780025828 3706701104 5560051656 11120103312