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112141024121 = 72311034311663
BaseRepresentation
bin110100001110000100…
…0000011101101111001
3101201110022010021022202
41220130020003231321
53314131100232441
6123303351155545
711046646656200
oct1503410035571
9351408107282
10112141024121
1143616759235
1219897975bb5
13a761c4c799
1455db6ac237
152db506519b
hex1a1c203b79

112141024121 has 48 divisors (see below), whose sum is σ = 136362590208. Its totient is φ = 91848103200.

The previous prime is 112141024067. The next prime is 112141024133. The reversal of 112141024121 is 121420141211.

It is not a de Polignac number, because 112141024121 - 210 = 112141023097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112141024093 and 112141024102.

It is not an unprimeable number, because it can be changed into a prime (112141024181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67432136 + ... + 67433798.

It is an arithmetic number, because the mean of its divisors is an integer number (2840887296).

Almost surely, 2112141024121 is an apocalyptic number.

It is an amenable number.

112141024121 is a deficient number, since it is larger than the sum of its proper divisors (24221566087).

112141024121 is a wasteful number, since it uses less digits than its factorization.

112141024121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 112141024121 its reverse (121420141211), we get a palindrome (233561165332).

The spelling of 112141024121 in words is "one hundred twelve billion, one hundred forty-one million, twenty-four thousand, one hundred twenty-one".

Divisors: 1 7 31 49 103 217 431 721 1519 1663 3017 3193 5047 11641 13361 21119 22351 44393 51553 81487 93527 156457 171289 310751 360871 654689 716753 1199023 1376183 2175257 2526097 5017271 5309959 8393161 9633281 22219343 35120897 37169713 67432967 73825559 155535401 260187991 516778913 1088747807 2288592329 3617452391 16020146303 112141024121