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2112342300 = 223452713673
BaseRepresentation
bin111110111100111…
…1100100100011100
312110012202002220000
41331321330210130
513311224423200
6545334454300
7103226420235
oct17571744434
95405662800
102112342300
119943a9042
124ab504390
1327881c8b3
1416078008c
15c56a4300
hex7de7c91c

2112342300 has 180 divisors, whose sum is σ = 6945711696. Its totient is φ = 555206400.

The previous prime is 2112342289. The next prime is 2112342307. The reversal of 2112342300 is 32432112.

2112342300 is a `hidden beast` number, since 21 + 1 + 2 + 342 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112342307) 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 59 ways as a sum of consecutive naturals, for example, 573264 + ... + 576936.

Almost surely, 22112342300 is an apocalyptic number.

2112342300 is a gapful number since it is divisible by the number (20) 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 2112342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472855848).

2112342300 is an abundant number, since it is smaller than the sum of its proper divisors (4833369396).

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

2112342300 is a wasteful number, since it uses less digits than its factorization.

2112342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2112342300 is about 45960.2251952707. The cubic root of 2112342300 is about 1283.0830425849.

Adding to 2112342300 its reverse (32432112), we get a palindrome (2144774412).

The spelling of 2112342300 in words is "two billion, one hundred twelve million, three hundred forty-two thousand, three hundred".