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10112221112 = 23717103281367
BaseRepresentation
bin10010110101011110…
…00011111110111000
3222002201221001112212
421122233003332320
5131202212033422
64351231554252
7505406314130
oct113257037670
928081831485
1010112221112
11431a0a3434
121b6268b988
13c5201c7b6
146bd015ac0
153e2b789e2
hex25abc3fb8

10112221112 has 128 divisors (see below), whose sum is σ = 23312240640. Its totient is φ = 4013936640.

The previous prime is 10112221039. The next prime is 10112221151. The reversal of 10112221112 is 21112221101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27553553 + ... + 27553919.

It is an arithmetic number, because the mean of its divisors is an integer number (182126880).

Almost surely, 210112221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656120320).

10112221112 is an abundant number, since it is smaller than the sum of its proper divisors (13200019528).

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

10112221112 is a wasteful number, since it uses less digits than its factorization.

10112221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112221112 its reverse (21112221101), we get a palindrome (31224442213).

The spelling of 10112221112 in words is "ten billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 103 119 136 206 238 281 367 412 476 562 721 734 824 952 1124 1442 1468 1751 1967 2248 2569 2884 2936 3502 3934 4777 5138 5768 6239 7004 7868 9554 10276 12257 12478 14008 15736 19108 20552 24514 24956 28943 33439 37801 38216 43673 49028 49912 57886 66878 75602 87346 98056 103127 115772 133756 151204 174692 202601 206254 231544 264607 267512 302408 349384 405202 412508 492031 529214 642617 721889 810404 825016 984062 1058428 1285234 1443778 1620808 1753159 1968124 2116856 2570468 2887556 3444217 3506318 3936248 4498319 5140936 5775112 6888434 7012636 8996638 10622081 12272113 13776868 14025272 17993276 21244162 24544226 27553736 35986552 42488324 49088452 74354567 84976648 98176904 148709134 180575377 297418268 361150754 594836536 722301508 1264027639 1444603016 2528055278 5056110556 10112221112