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10112011110 = 2335111733529
BaseRepresentation
bin10010110101011100…
…10000101101100110
3222002201112101111000
421122232100231212
5131202133323420
64351223254130
7505404450645
oct113256205546
928081471430
1010112011110
114319a6a683
121b625aa346
13c51c78036
146bcd9d35c
153e2b36690
hex25ab90b66

10112011110 has 64 divisors (see below), whose sum is σ = 26990308800. Its totient is φ = 2694041856.

The previous prime is 10112011099. The next prime is 10112011127. The reversal of 10112011110 is 1111021101.

10112011110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10112011092 and 10112011101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284826 + ... + 318354.

It is an arithmetic number, because the mean of its divisors is an integer number (421723575).

Almost surely, 210112011110 is an apocalyptic number.

10112011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10112011110 is an abundant number, since it is smaller than the sum of its proper divisors (16878297690).

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

10112011110 is a wasteful number, since it uses less digits than its factorization.

10112011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34662 (or 34656 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10112011110 its reverse (1111021101), we get a palindrome (11223032211).

Subtracting from 10112011110 its reverse (1111021101), we obtain a palindrome (9000990009).

The spelling of 10112011110 in words is "ten billion, one hundred twelve million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1117 2234 3351 5585 6702 10053 11170 16755 20106 30159 33510 33529 50265 60318 67058 100530 100587 150795 167645 201174 301590 301761 335290 502935 603522 905283 1005870 1508805 1810566 3017610 4526415 9052830 37451893 74903786 112355679 187259465 224711358 337067037 374518930 561778395 674134074 1011201111 1123556790 1685335185 2022402222 3370670370 5056005555 10112011110