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110170682942112 = 253213181116248443
BaseRepresentation
bin11001000011001100011100…
…011010111110001010100000
3112110002012210022121121200200
4121003030130122332022200
5103420014024313121422
61030151414003345200
732130366140552562
oct3103143432761240
9473065708547620
10110170682942112
1132116140416931
1210433996982200
1349620878746b0
141d2c40a591332
15cb0bd3eb12ac
hex64331c6be2a0

110170682942112 has 144 divisors (see below), whose sum is σ = 337584041934048. Its totient is φ = 33879951383040.

The previous prime is 110170682942053. The next prime is 110170682942153. The reversal of 110170682942112 is 211249286071011.

It is a happy number.

110170682942112 is a `hidden beast` number, since 110 + 170 + 68 + 294 + 21 + 1 + 2 = 666.

110170682942112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343838 + ... + 14904605.

It is an arithmetic number, because the mean of its divisors is an integer number (2344333624542).

Almost surely, 2110170682942112 is an apocalyptic number.

110170682942112 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 110170682942112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168792020967024).

110170682942112 is an abundant number, since it is smaller than the sum of its proper divisors (227413358991936).

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

110170682942112 is a wasteful number, since it uses less digits than its factorization.

110170682942112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250283 (or 16250272 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 110170682942112 in words is "one hundred ten trillion, one hundred seventy billion, six hundred eighty-two million, nine hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1811 1872 3622 3744 5433 7244 10866 14488 16299 21732 23543 28976 32598 43464 47086 57952 65196 70629 86928 94172 130392 141258 173856 188344 211887 260784 282516 376688 423774 521568 565032 753376 847548 1130064 1695096 2260128 3390192 6780384 16248443 32496886 48745329 64993772 97490658 129987544 146235987 194981316 211229759 259975088 292471974 389962632 422459518 519950176 584943948 633689277 779925264 844919036 1169887896 1267378554 1559850528 1689838072 1901067831 2339775792 2534757108 3379676144 3802135662 4679551584 5069514216 6759352288 7604271324 10139028432 15208542648 20278056864 29425930273 30417085296 58851860546 60834170592 88277790819 117703721092 176555581638 235407442184 264833372457 353111163276 382537093549 470814884368 529666744914 706222326552 765074187098 941629768736 1059333489828 1147611280647 1412444653104 1530148374196 2118666979656 2295222561294 2824889306208 3060296748392 3442833841941 4237333959312 4590445122588 6120593496784 6885667683882 8474667918624 9180890245176 12241186993568 13771335367764 18361780490352 27542670735528 36723560980704 55085341471056 110170682942112