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114112104130120 = 23513633209257141
BaseRepresentation
bin11001111100100011001011…
…011011100110011001001000
3112222001000021201221100022111
4121330203023123212121020
5104424103042124130440
61042410213230232104
733015220214101405
oct3174431333463110
9488030251840274
10114112104130120
11333a5742980a88
121096b834955634
134b8995749c7a5
1420270abaa72ac
15d2d4b73964ea
hex67c8cb6e6648

114112104130120 has 32 divisors (see below), whose sum is σ = 256771068662520. Its totient is φ = 45641493319680.

The previous prime is 114112104130103. The next prime is 114112104130159. The reversal of 114112104130120 is 21031401211411.

114112104130120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101240986412164 + 12871117717956 = 10061858^2 + 3587634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114112104130091 and 114112104130100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104083251 + ... + 105173890.

Almost surely, 2114112104130120 is an apocalyptic number.

114112104130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114112104130120 is an abundant number, since it is smaller than the sum of its proper divisors (142658964532400).

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

114112104130120 is a wasteful number, since it uses less digits than its factorization.

114112104130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209270785 (or 209270781 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 114112104130120 its reverse (21031401211411), we get a palindrome (135143505341531).

The spelling of 114112104130120 in words is "one hundred fourteen trillion, one hundred twelve billion, one hundred four million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 13633 27266 54532 68165 109064 136330 272660 545320 209257141 418514282 837028564 1046285705 1674057128 2092571410 4185142820 8370285640 2852802603253 5705605206506 11411210413012 14264013016265 22822420826024 28528026032530 57056052065060 114112104130120