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110221310112 = 25311346721757
BaseRepresentation
bin110011010100110110…
…0111011100010100000
3101112111111211200202220
41212221230323202200
53301213123410422
6122345053111040
710651246451304
oct1465154734240
9345444750686
10110221310112
1142821068731
1219440a88480
13a517305a34
145498751d04
152d01760e5c
hex19a9b3b8a0

110221310112 has 96 divisors (see below), whose sum is σ = 292529869632. Its totient is φ = 36335652864.

The previous prime is 110221310081. The next prime is 110221310167. The reversal of 110221310112 is 211013122011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 110221310091 and 110221310100.

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, 5055138 + ... + 5076894.

It is an arithmetic number, because the mean of its divisors is an integer number (3047186142).

Almost surely, 2110221310112 is an apocalyptic number.

110221310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146264934816).

110221310112 is an abundant number, since it is smaller than the sum of its proper divisors (182308559520).

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

110221310112 is a wasteful number, since it uses less digits than its factorization.

110221310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22350 (or 22342 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110221310112 its reverse (211013122011), we get a palindrome (321234432123).

The spelling of 110221310112 in words is "one hundred ten billion, two hundred twenty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 467 678 904 934 1356 1401 1808 1868 2712 2802 3616 3736 5424 5604 7472 10848 11208 14944 21757 22416 43514 44832 52771 65271 87028 105542 130542 158313 174056 211084 261084 316626 348112 422168 522168 633252 696224 844336 1044336 1266504 1688672 2088672 2458541 2533008 4917082 5066016 7375623 9834164 10160519 14751246 19668328 20321038 29502492 30481557 39336656 40642076 59004984 60963114 78673312 81284152 118009968 121926228 162568304 236019936 243852456 325136608 487704912 975409824 1148138647 2296277294 3444415941 4592554588 6888831882 9185109176 13777663764 18370218352 27555327528 36740436704 55110655056 110221310112