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2112142032 = 24327111314653
BaseRepresentation
bin111110111100100…
…1011101011010000
312110012100221011200
41331321023223100
513311202021112
6545330311200
7103224624330
oct17571135320
95405327150
102112142032
11994281630
124ab428500
1327877c6b0
1416072b0c0
15c5664cdc
hex7de4bad0

2112142032 has 240 divisors, whose sum is σ = 7937075328. Its totient is φ = 506373120.

The previous prime is 2112142027. The next prime is 2112142057. The reversal of 2112142032 is 2302412112.

It is a happy number.

2112142032 is a `hidden beast` number, since 211 + 2 + 1 + 420 + 32 = 666.

It is a super-2 number, since 2×21121420322 = 8922287926682178048, which contains 22 as substring.

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 = 2112141996 and 2112142014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136818 + ... + 151470.

Almost surely, 22112142032 is an apocalyptic number.

2112142032 is a gapful number since it is divisible by the number (22) 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 2112142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968537664).

2112142032 is an abundant number, since it is smaller than the sum of its proper divisors (5824933296).

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

2112142032 is a wasteful number, since it uses less digits than its factorization.

2112142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14698 (or 14689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2112142032 is about 45958.0464336769. The cubic root of 2112142032 is about 1283.0424922448.

Adding to 2112142032 its reverse (2302412112), we get a palindrome (4414554144).

The spelling of 2112142032 in words is "two billion, one hundred twelve million, one hundred forty-two thousand, thirty-two".