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10110113112 = 23311173895791
BaseRepresentation
bin10010110101001110…
…00001010101011000
3222002120221221220210
421122213001111120
5131201142104422
64351114451120
7505352354301
oct113247012530
928076857823
1010110113112
114318993690
121b61a33aa0
13c51762168
146bca277a8
153e28ae10c
hex25a9c1558

10110113112 has 128 divisors (see below), whose sum is σ = 29275084800. Its totient is φ = 2875545600.

The previous prime is 10110113093. The next prime is 10110113119. The reversal of 10110113112 is 21131101101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110113119) 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, 1742937 + ... + 1748727.

It is an arithmetic number, because the mean of its divisors is an integer number (228711600).

Almost surely, 210110113112 is an apocalyptic number.

10110113112 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 10110113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637542400).

10110113112 is an abundant number, since it is smaller than the sum of its proper divisors (19164971688).

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

10110113112 is a wasteful number, since it uses less digits than its factorization.

10110113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10110113112 its reverse (21131101101), we get a palindrome (31241214213).

The spelling of 10110113112 in words is "ten billion, one hundred ten million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 389 408 561 748 778 1122 1167 1496 1556 2244 2334 3112 4279 4488 4668 5791 6613 8558 9336 11582 12837 13226 17116 17373 19839 23164 25674 26452 34232 34746 39678 46328 51348 52904 63701 69492 72743 79356 98447 102696 127402 138984 145486 158712 191103 196894 218229 254804 290972 295341 382206 393788 436458 509608 581944 590682 764412 787576 872916 1082917 1181364 1528824 1745832 2165834 2252699 2362728 3248751 4331668 4505398 6497502 6758097 8663336 9010796 12995004 13516194 18021592 24779689 25990008 27032388 38295883 49559378 54064776 74339067 76591766 99118756 114887649 148678134 153183532 198237512 229775298 297356268 306367064 421254713 459550596 594712536 842509426 919101192 1263764139 1685018852 2527528278 3370037704 5055056556 10110113112