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112214024120 = 235112371107563
BaseRepresentation
bin110100010000001111…
…0100001111110111000
3101201122101111001111102
41220200132201332320
53314303242232440
6123314515550532
711051524316162
oct1504036417670
9351571431442
10112214024120
1143653989210
12198b82bb448
13a7740cb953
145607271932
152dbb684b15
hex1a207a1fb8

112214024120 has 64 divisors (see below), whose sum is σ = 275553152640. Its totient is φ = 40787510400.

The previous prime is 112214024113. The next prime is 112214024129. The reversal of 112214024120 is 21420412211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112214024092 and 112214024101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112214024129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989459 + ... + 1097021.

It is an arithmetic number, because the mean of its divisors is an integer number (4305518010).

Almost surely, 2112214024120 is an apocalyptic number.

112214024120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112214024120 is an abundant number, since it is smaller than the sum of its proper divisors (163339128520).

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

112214024120 is a wasteful number, since it uses less digits than its factorization.

112214024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109956 (or 109952 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112214024120 its reverse (21420412211), we get a palindrome (133634436331).

The spelling of 112214024120 in words is "one hundred twelve billion, two hundred fourteen million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2371 4742 9484 11855 18968 23710 26081 47420 52162 94840 104324 107563 130405 208648 215126 260810 430252 521620 537815 860504 1043240 1075630 1183193 2151260 2366386 4302520 4732772 5915965 9465544 11831930 23663860 47327720 255031873 510063746 1020127492 1275159365 2040254984 2550318730 2805350603 5100637460 5610701206 10201274920 11221402412 14026753015 22442804824 28053506030 56107012060 112214024120