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111020112112 = 24713294875399
BaseRepresentation
bin110011101100101010…
…0000111100011110000
3101121120011221001010011
41213121110013203300
53304332122041422
6123000230144304
711010116245150
oct1473124074360
9347504831104
10111020112112
11430a0a60478
12196244b2094
13a613959540
145532888760
152d4b94d077
hex19d95078f0

111020112112 has 160 divisors (see below), whose sum is σ = 274482432000. Its totient is φ = 42310646784.

The previous prime is 111020112089. The next prime is 111020112113. The reversal of 111020112112 is 211211020111.

It is a happy number.

It is a super-2 number, since 2×1110201121122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 111020112092 and 111020112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020112113) 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, 20560389 + ... + 20565787.

It is an arithmetic number, because the mean of its divisors is an integer number (1715515200).

Almost surely, 2111020112112 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 111020112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137241216000).

111020112112 is an abundant number, since it is smaller than the sum of its proper divisors (163462319888).

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

111020112112 is a wasteful number, since it uses less digits than its factorization.

111020112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111020112112 its reverse (211211020111), we get a palindrome (322231132223).

The spelling of 111020112112 in words is "one hundred eleven billion, twenty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 182 203 208 232 364 377 406 464 487 728 754 812 974 1456 1508 1624 1948 2639 3016 3248 3409 3896 5278 5399 6032 6331 6818 7792 10556 10798 12662 13636 14123 21112 21596 25324 27272 28246 37793 42224 43192 44317 50648 54544 56492 70187 75586 86384 88634 98861 101296 112984 140374 151172 156571 177268 183599 197722 225968 280748 302344 313142 354536 367198 395444 491309 561496 604688 626284 709072 734396 790888 982618 1095997 1122992 1252568 1285193 1468792 1581776 1965236 2035423 2191994 2505136 2570386 2629313 2937584 3930472 4070846 4383988 5140772 5258626 7860944 8141692 8767976 10281544 10517252 14247961 16283384 17535952 18405191 20563088 21034504 28495922 32566768 34181069 36810382 42069008 56991844 68362138 73620764 76250077 113983688 136724276 147241528 152500154 227967376 239267483 273448552 294483056 305000308 478534966 533750539 546897104 610000616 957069932 991251001 1067501078 1220001232 1914139864 1982502002 2135002156 3828279728 3965004004 4270004312 6938757007 7930008008 8540008624 13877514014 15860016016 27755028028 55510056056 111020112112