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11120034012 = 22319181467577
BaseRepresentation
bin10100101101100111…
…00100000011011100
31001200222022020221120
422112303210003130
5140233212042022
65035232530540
7542364505143
oct122663440334
931628266846
1011120034012
114796a7315a
1221a40b0a50
131082a63ba9
14776bd875a
1545139ed5c
hex296ce40dc

11120034012 has 96 divisors (see below), whose sum is σ = 27569767680. Its totient is φ = 3478671360.

The previous prime is 11120033989. The next prime is 11120034017. The reversal of 11120034012 is 21043002111.

It is a super-2 number, since 2×111200340122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11120033982 and 11120034000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120034017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19271868 + ... + 19272444.

It is an arithmetic number, because the mean of its divisors is an integer number (287185080).

Almost surely, 211120034012 is an apocalyptic number.

11120034012 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 11120034012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784883840).

11120034012 is an abundant number, since it is smaller than the sum of its proper divisors (16449733668).

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

11120034012 is a wasteful number, since it uses less digits than its factorization.

11120034012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11120034012 its reverse (21043002111), we get a palindrome (32163036123).

The spelling of 11120034012 in words is "eleven billion, one hundred twenty million, thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 181 228 362 467 543 577 724 934 1086 1154 1401 1731 1868 2172 2308 2802 3439 3462 5604 6878 6924 8873 10317 10963 13756 17746 20634 21926 26619 32889 35492 41268 43852 53238 65778 84527 104437 106476 131556 169054 208874 253581 269459 313311 338108 417748 507162 538918 626622 808377 1014324 1077836 1253244 1606013 1616754 1984303 3212026 3233508 3968606 4818039 5119721 5952909 6424052 7937212 9636078 10239442 11905818 15359163 19272156 20478884 23811636 30718326 48772079 61436652 97544158 146316237 195088316 292632474 585264948 926669501 1853339002 2780008503 3706678004 5560017006 11120034012