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2112314424 = 23311241113157
BaseRepresentation
bin111110111100111…
…0101110000111000
312110012200200122120
41331321311300320
513311223030144
6545334121240
7103226243043
oct17571656070
95405620576
102112314424
1199438a100
124ab4b0220
1327880ccbc
14160773c5a
15c569ae19
hex7de75c38

2112314424 has 192 divisors, whose sum is σ = 6036901920. Its totient is φ = 615014400.

The previous prime is 2112314377. The next prime is 2112314429. The reversal of 2112314424 is 4244132112.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 2112314394 and 2112314403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112314429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13454154 + ... + 13454310.

Almost surely, 22112314424 is an apocalyptic number.

2112314424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112314424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018450960).

2112314424 is an abundant number, since it is smaller than the sum of its proper divisors (3924587496).

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

2112314424 is a wasteful number, since it uses less digits than its factorization.

2112314424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2112314424 is about 45959.9219320486. The cubic root of 2112314424 is about 1283.0773983954.

Adding to 2112314424 its reverse (4244132112), we get a palindrome (6356446536).

The spelling of 2112314424 in words is "two billion, one hundred twelve million, three hundred fourteen thousand, four hundred twenty-four".