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112121424 = 24322926849
BaseRepresentation
bin1101010111011…
…01011001010000
321210222100200100
412223231121100
5212200341144
615043052400
72531005422
oct653553120
9253870610
10112121424
1158320538
1231671100
131a2c8b4c
1410c68812
159c9b269
hex6aed650

112121424 has 60 divisors (see below), whose sum is σ = 324616500. Its totient is φ = 36083712.

The previous prime is 112121423. The next prime is 112121437. The reversal of 112121424 is 424121211.

It can be written as a sum of positive squares in 2 ways, for example, as 44355600 + 67765824 = 6660^2 + 8232^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112121397 and 112121406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9249 + ... + 17600.

It is an arithmetic number, because the mean of its divisors is an integer number (5410275).

Almost surely, 2112121424 is an apocalyptic number.

It is an amenable number.

112121424 is an abundant number, since it is smaller than the sum of its proper divisors (212495076).

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

112121424 is a wasteful number, since it uses less digits than its factorization.

112121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26892 (or 26883 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 112121424 is about 10588.7404350093. The cubic root of 112121424 is about 482.2025858232.

Adding to 112121424 its reverse (424121211), we get a palindrome (536242635).

The spelling of 112121424 in words is "one hundred twelve million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 26849 53698 80547 107396 161094 214792 241641 322188 429584 483282 644376 778621 966564 1288752 1557242 1933128 2335863 3114484 3866256 4671726 6228968 7007589 9343452 12457936 14015178 18686904 28030356 37373808 56060712 112121424