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2112142000 = 24531056071
BaseRepresentation
bin111110111100100…
…1011101010110000
312110012100221010111
41331321023222300
513311202021000
6545330311104
7103224624253
oct17571135260
95405327114
102112142000
11994281601
124ab428494
1327877c687
1416072b09a
15c5664cba
hex7de4bab0

2112142000 has 40 divisors (see below), whose sum is σ = 5107164192. Its totient is φ = 844856000.

The previous prime is 2112141991. The next prime is 2112142027. The reversal of 2112142000 is 2412112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×21121420002 = 8922287656328000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526036 + ... + 530035.

Almost surely, 22112142000 is an apocalyptic number.

2112142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112142000 is an abundant number, since it is smaller than the sum of its proper divisors (2995022192).

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

2112142000 is a wasteful number, since it uses less digits than its factorization.

2112142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056094 (or 1056078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2112142000 is about 45958.0460855333. The cubic root of 2112142000 is about 1283.0424857652.

Adding to 2112142000 its reverse (2412112), we get a palindrome (2114554112).

The spelling of 2112142000 in words is "two billion, one hundred twelve million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1056071 2112142 4224284 5280355 8448568 10560710 16897136 21121420 26401775 42242840 52803550 84485680 105607100 132008875 211214200 264017750 422428400 528035500 1056071000 2112142000