Search a number
-
+
110132244014112 = 2532748951062041
BaseRepresentation
bin11001000010101000101001…
…010010000110010000100000
3112102221112120102222202101200
4121002220221102012100200
5103413401313431422422
61030122015432001200
732124535450220235
oct3102505122062040
9472845512882350
10110132244014112
1132100905671341
1210428449830200
13495b570048298
141d2a60146378c
15caebd45892ac
hex642a29486420

110132244014112 has 72 divisors (see below), whose sum is σ = 313230394861020. Its totient is φ = 36705845329920.

The previous prime is 110132244014033. The next prime is 110132244014147. The reversal of 110132244014112 is 211410442231011.

110132244014112 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 3 + 2 + 244 + 0 + 1 + 411 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103952624752656 + 6179619261456 = 10195716^2 + 2485884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1101322440141122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23374189 + ... + 27687852.

Almost surely, 2110132244014112 is an apocalyptic number.

110132244014112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110132244014112 is an abundant number, since it is smaller than the sum of its proper divisors (203098150846908).

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

110132244014112 is a wasteful number, since it uses less digits than its factorization.

110132244014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51069546 (or 51069535 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 110132244014112 its reverse (211410442231011), we get a palindrome (321542686245123).

The spelling of 110132244014112 in words is "one hundred ten trillion, one hundred thirty-two billion, two hundred forty-four million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7489 14978 22467 29956 44934 59912 67401 89868 119824 134802 179736 239648 269604 359472 539208 718944 1078416 2156832 51062041 102124082 153186123 204248164 306372246 408496328 459558369 612744492 816992656 919116738 1225488984 1633985312 1838233476 2450977968 3676466952 4901955936 7352933904 14705867808 382403625049 764807250098 1147210875147 1529614500196 2294421750294 3059229000392 3441632625441 4588843500588 6118458000784 6883265250882 9177687001176 12236916001568 13766530501764 18355374002352 27533061003528 36710748004704 55066122007056 110132244014112