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112212110538 = 23411294350497
BaseRepresentation
bin110100010000001011…
…1001110110011001010
3101201122020212211120000
41220200113032303022
53314302300014123
6123314410543430
711051502126213
oct1504027166312
9351566784500
10112212110538
11436528a1540
12198b7737b76
13a7738ab958
145606cd440a
152dbb407b43
hex1a205cecca

112212110538 has 160 divisors (see below), whose sum is σ = 290359460160. Its totient is φ = 32066979840.

The previous prime is 112212110519. The next prime is 112212110539. The reversal of 112212110538 is 835011212211.

112212110538 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 12 + 110 + 538 = 666.

112212110538 is digitally balanced in base 3, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (112212110539) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2196906 + ... + 2247402.

It is an arithmetic number, because the mean of its divisors is an integer number (1814746626).

Almost surely, 2112212110538 is an apocalyptic number.

112212110538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112212110538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145179730080).

112212110538 is an abundant number, since it is smaller than the sum of its proper divisors (178147349622).

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

112212110538 is a wasteful number, since it uses less digits than its factorization.

112212110538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50594 (or 50585 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 112212110538 its reverse (835011212211), we get a palindrome (947223322749).

The spelling of 112212110538 in words is "one hundred twelve billion, two hundred twelve million, one hundred ten thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 43 54 58 66 81 86 87 99 129 162 174 198 258 261 297 319 387 473 522 594 638 774 783 891 946 957 1161 1247 1419 1566 1782 1914 2322 2349 2494 2838 2871 3483 3741 4257 4698 5742 6966 7482 8514 8613 11223 12771 13717 17226 22446 25542 25839 27434 33669 38313 41151 50497 51678 67338 76626 82302 100994 101007 123453 151491 202014 246906 302982 370359 454473 555467 740718 908946 1110934 1111077 1363419 1464413 1666401 2171371 2222154 2726838 2928826 3332802 4090257 4342742 4393239 4999203 6514113 8180514 8786478 9998406 13028226 13179717 14997609 16108543 19542339 23885081 26359434 29995218 32217086 39084678 39539151 44992827 47770162 48325629 58627017 62969759 71655243 79078302 89985654 96651258 117254034 118617453 125939518 143310486 144976887 175881051 188909277 214965729 237234906 289953774 351762102 377818554 429931458 434930661 566727831 644897187 692667349 869861322 1133455662 1289794374 1304791983 1385334698 1700183493 1934691561 2078002047 2609583966 3400366986 3869383122 4156004094 5100550479 6234006141 10201100958 12468012282 18702018423 37404036846 56106055269 112212110538