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10112230104 = 2334761281523
BaseRepresentation
bin10010110101011110…
…00110001011011000
3222002201221111212220
421122233012023120
5131202212330404
64351232104040
7505406352264
oct113257061330
928081844786
1010112230104
11431a0aa169
121b62695020
13c52023912
146bd0190a4
153e2b7b4d9
hex25abc62d8

10112230104 has 128 divisors (see below), whose sum is σ = 26385454080. Its totient is φ = 3227212800.

The previous prime is 10112230091. The next prime is 10112230153. The reversal of 10112230104 is 40103221101.

10112230104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 19334787 + ... + 19335309.

It is an arithmetic number, because the mean of its divisors is an integer number (206136360).

Almost surely, 210112230104 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 10112230104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13192727040).

10112230104 is an abundant number, since it is smaller than the sum of its proper divisors (16273223976).

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

10112230104 is a wasteful number, since it uses less digits than its factorization.

10112230104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

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

Adding to 10112230104 its reverse (40103221101), we get a palindrome (50215451205).

The spelling of 10112230104 in words is "ten billion, one hundred twelve million, two hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 61 94 122 141 183 188 244 281 282 366 376 488 523 562 564 732 843 1046 1124 1128 1464 1569 1686 2092 2248 2867 3138 3372 4184 5734 6276 6744 8601 11468 12552 13207 17141 17202 22936 24581 26414 31903 34282 34404 39621 49162 51423 52828 63806 68564 68808 73743 79242 95709 98324 102846 105656 127612 137128 146963 147486 158484 191418 196648 205692 255224 293926 294972 316968 382836 411384 440889 587852 589944 765672 805627 881778 1175704 1499441 1611254 1763556 2416881 2998882 3222508 3527112 4498323 4833762 5997764 6445016 6907261 8964743 8996646 9667524 11995528 13814522 17929486 17993292 19335048 20721783 26894229 27629044 35858972 35986584 41443566 53788458 55258088 71717944 82887132 107576916 165774264 215153832 421342921 842685842 1264028763 1685371684 2528057526 3370743368 5056115052 10112230104