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112141101024 = 2533129792941
BaseRepresentation
bin110100001110000100…
…0010110011111100000
3101201110022021011211000
41220130020112133200
53314131110213044
6123303352552000
711046650426331
oct1503410263740
9351408234730
10112141101024
1143616800a97
12198979b2600
13a761c787a4
1455db6cc288
152db507cd69
hex1a1c2167e0

112141101024 has 48 divisors (see below), whose sum is σ = 327078213840. Its totient is φ = 37380366720.

The previous prime is 112141100987. The next prime is 112141101089. The reversal of 112141101024 is 420101141211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112141100988 and 112141101006.

It is a congruent number.

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, 64895607 + ... + 64897334.

It is an arithmetic number, because the mean of its divisors is an integer number (6814129455).

Almost surely, 2112141101024 is an apocalyptic number.

It is an amenable number.

112141101024 is an abundant number, since it is smaller than the sum of its proper divisors (214937112816).

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

112141101024 is a wasteful number, since it uses less digits than its factorization.

112141101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129792960 (or 129792946 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112141101024 its reverse (420101141211), we get a palindrome (532242242235).

The spelling of 112141101024 in words is "one hundred twelve billion, one hundred forty-one million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 129792941 259585882 389378823 519171764 778757646 1038343528 1168136469 1557515292 2076687056 2336272938 3115030584 3504409407 4153374112 4672545876 6230061168 7008818814 9345091752 12460122336 14017637628 18690183504 28035275256 37380367008 56070550512 112141101024