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112300020131112 = 233311311524655427
BaseRepresentation
bin11001100010001011100010…
…110011101110010100101000
3112201121202222111012102112000
4121202023202303232110220
5104204410420123143422
61034501530025251000
732440260121203462
oct3142134263562450
9481552874172460
10112300020131112
1132867197788060
12107185b5633a60
134a87b00892418
141da34c8493132
15ceb2aba28cac
hex6622e2cee528

112300020131112 has 128 divisors (see below), whose sum is σ = 351280610611200. Its totient is φ = 32932557201600.

The previous prime is 112300020131087. The next prime is 112300020131119. The reversal of 112300020131112 is 211131020003211.

112300020131112 is a `hidden beast` number, since 112 + 30 + 0 + 0 + 201 + 311 + 12 = 666.

It is a super-2 number, since 2×1123000201311122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112300020131119) 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, 762254058 + ... + 762401369.

It is an arithmetic number, because the mean of its divisors is an integer number (2744379770400).

Almost surely, 2112300020131112 is an apocalyptic number.

112300020131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112300020131112 is an abundant number, since it is smaller than the sum of its proper divisors (238980590480088).

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

112300020131112 is a wasteful number, since it uses less digits than its factorization.

112300020131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524655484 (or 1524655474 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112300020131112 its reverse (211131020003211), we get a palindrome (323431040134323).

The spelling of 112300020131112 in words is "one hundred twelve trillion, three hundred billion, twenty million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 73656 1524655427 3049310854 4573966281 6098621708 9147932562 12197243416 13721898843 16771209697 18295865124 27443797686 33542419394 36591730248 41165696529 47264318237 50313629091 54887595372 67084838788 82331393058 94528636474 100627258182 109775190744 134169677576 141792954711 150940887273 164662786116 189057272948 201254516364 283585909422 301881774546 329325572232 378114545896 402509032728 425378864133 452822661819 519907500607 567171818844 603763549092 850757728266 905645323638 1039815001214 1134343637688 1207527098184 1276136592399 1559722501821 1701515456532 1811290647276 2079630002428 2552273184798 3119445003642 3403030913064 3622581294552 4159260004856 4679167505463 5104546369596 6238890007284 9358335010926 10209092739192 12477780014568 14037502516389 18716670021852 28075005032778 37433340043704 56150010065556 112300020131112