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110214034112 = 267133111977
BaseRepresentation
bin110011010100101000…
…1001011001011000000
3101112111000011000222102
41212221101023023000
53301204243042422
6122344233125532
710651130555420
oct1465121131300
9345430130872
10110214034112
1142817a49106
121943a5598a8
13a515959000
1454977ba480
152d00cc5192
hex19a944b2c0

110214034112 has 112 divisors (see below), whose sum is σ = 270771762240. Its totient is φ = 43600766976.

The previous prime is 110214034079. The next prime is 110214034129. The reversal of 110214034112 is 211430412011.

It is a tau number, because it is divible by the number of its divisors (112).

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, 928268 + ... + 1040244.

It is an arithmetic number, because the mean of its divisors is an integer number (2417605020).

Almost surely, 2110214034112 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 110214034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135385881120).

110214034112 is an abundant number, since it is smaller than the sum of its proper divisors (160557728128).

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

110214034112 is an equidigital number, since it uses as much as digits as its factorization.

110214034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112035 (or 111999 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 110214034112 its reverse (211430412011), we get a palindrome (321644446123).

The spelling of 110214034112 in words is "one hundred ten billion, two hundred fourteen million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 338 364 416 448 676 728 832 1183 1352 1456 2197 2366 2704 2912 4394 4732 5408 5824 8788 9464 10816 15379 17576 18928 30758 35152 37856 61516 70304 75712 111977 123032 140608 223954 246064 447908 492128 783839 895816 984256 1455701 1567678 1791632 2911402 3135356 3583264 5822804 6270712 7166528 10189907 11645608 12541424 18924113 20379814 23291216 25082848 37848226 40759628 46582432 50165696 75696452 81519256 93164864 132468791 151392904 163038512 246013469 264937582 302785808 326077024 492026938 529875164 605571616 652154048 984053876 1059750328 1211143232 1722094283 1968107752 2119500656 3444188566 3936215504 4239001312 6888377132 7872431008 8478002624 13776754264 15744862016 27553508528 55107017056 110214034112