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112022102122112 = 277139643997333
BaseRepresentation
bin11001011110001000101101…
…100110101001111010000000
3112200122012121220102202202102
4121132020231212221322000
5104140332231120401422
61034130124314005532
732411221056124460
oct3136105546517200
9480565556382672
10112022102122112
113276a3412684a6
12106927734168a8
134a6783c8921a0
141d93c81d55ba0
15ce3e42c92192
hex65e22d9a9e80

112022102122112 has 128 divisors (see below), whose sum is σ = 274698336581760. Its totient is φ = 44311795863552.

The previous prime is 112022102122093. The next prime is 112022102122121. The reversal of 112022102122112 is 211221201220211.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111822998 + ... + 112820330.

It is an arithmetic number, because the mean of its divisors is an integer number (2146080754545).

Almost surely, 2112022102122112 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 112022102122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137349168290880).

112022102122112 is an abundant number, since it is smaller than the sum of its proper divisors (162676234459648).

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

112022102122112 is an equidigital number, since it uses as much as digits as its factorization.

112022102122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007010 (or 1006998 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 112022102122112 its reverse (211221201220211), we get a palindrome (323243303342323).

The spelling of 112022102122112 in words is "one hundred twelve trillion, twenty-two billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 9643 11648 19286 38572 67501 77144 125359 135002 154288 250718 270004 308576 501436 540008 617152 877513 997333 1002872 1080016 1234304 1755026 1994666 2005744 2160032 3510052 3989332 4011488 4320064 6981331 7020104 7978664 8022976 8640128 12965329 13962662 14040208 15957328 16045952 25930658 27925324 28080416 31914656 51861316 55850648 56160832 63829312 90757303 103722632 111701296 112321664 127658624 181514606 207445264 223402592 363029212 414890528 446805184 726058424 829781056 893610368 1452116848 1659562112 2904233696 5808467392 9617282119 11616934784 19234564238 38469128476 67320974833 76938256952 125024667547 134641949666 153876513904 250049335094 269283899332 307753027808 500098670188 538567798664 615506055616 875172672829 1000197340376 1077135597328 1231012111232 1750345345658 2000394680752 2154271194656 3500690691316 4000789361504 4308542389312 7001381382632 8001578723008 8617084778624 14002762765264 16003157446016 28005525530528 56011051061056 112022102122112