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2114041000 = 23532114041
BaseRepresentation
bin111111000000001…
…1011010010101000
312110022221102001211
41332000123102220
513312143303000
6545435122504
7103250023561
oct17600332250
95408842054
102114041000
11995359325
124abba3434
13278c95b46
14160aa3168
15c58dc7ba
hex7e01b4a8

2114041000 has 32 divisors (see below), whose sum is σ = 4946858280. Its totient is φ = 845616000.

The previous prime is 2114040997. The next prime is 2114041003. The reversal of 2114041000 is 1404112.

It is an interprime number because it is at equal distance from previous prime (2114040997) and next prime (2114041003).

It can be written as a sum of positive squares in 4 ways, for example, as 269682084 + 1844358916 = 16422^2 + 42946^2 .

It is not an unprimeable number, because it can be changed into a prime (2114041003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056021 + ... + 1058020.

Almost surely, 22114041000 is an apocalyptic number.

2114041000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114041000 is an abundant number, since it is smaller than the sum of its proper divisors (2832817280).

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

2114041000 is a wasteful number, since it uses less digits than its factorization.

2114041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114062 (or 2114048 counting only the distinct ones).

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

The square root of 2114041000 is about 45978.7015910628. The cubic root of 2114041000 is about 1283.4268929747.

Adding to 2114041000 its reverse (1404112), we get a palindrome (2115445112).

The spelling of 2114041000 in words is "two billion, one hundred fourteen million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2114041 4228082 8456164 10570205 16912328 21140410 42280820 52851025 84561640 105702050 211404100 264255125 422808200 528510250 1057020500 2114041000