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112120110128 = 24135397104851
BaseRepresentation
bin110100001101011100…
…0010001110000110000
3101201101211202201201102
41220122320101300300
53314110222011003
6123301323023532
711046304132355
oct1503270216060
9351354681642
10112120110128
1143605974244
121989096aba8
13a75a809340
1455d89c662c
152db32d3588
hex1a1ae11c30

112120110128 has 80 divisors (see below), whose sum is σ = 240816524256. Its totient is φ = 50247475200.

The previous prime is 112120110127. The next prime is 112120110133. The reversal of 112120110128 is 821011021211.

It is a happy number.

It is a super-2 number, since 2×1121201101282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112120110127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1016903 + ... + 1121753.

Almost surely, 2112120110128 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 112120110128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120408262128).

112120110128 is an abundant number, since it is smaller than the sum of its proper divisors (128696414128).

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

112120110128 is a wasteful number, since it uses less digits than its factorization.

112120110128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105022 (or 105016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112120110128 its reverse (821011021211), we get a palindrome (933131131339).

The spelling of 112120110128 in words is "one hundred twelve billion, one hundred twenty million, one hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 97 104 106 194 208 212 388 424 689 776 848 1261 1378 1552 2522 2756 5044 5141 5512 10088 10282 11024 20176 20564 41128 66833 82256 104851 133666 209702 267332 419404 534664 838808 1069328 1363063 1677616 2726126 5452252 5557103 10170547 10904504 11114206 20341094 21809008 22228412 40682188 44456824 72242339 81364376 88913648 132217111 144484678 162728752 264434222 288969356 528868444 539038991 577938712 1057736888 1078077982 1155877424 2115473776 2156155964 4312311928 7007506883 8624623856 14015013766 28030027532 56060055064 112120110128