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2001411000 = 233253222379
BaseRepresentation
bin111011101001011…
…0001101110111000
312011111000012202100
41313102301232320
513044330123000
6530333103400
7100411466331
oct16722615670
95144005670
102001411000
11937820786
1247a327b60
1325b84c684
1414db45288
15baa90a00
hex774b1bb8

2001411000 has 96 divisors (see below), whose sum is σ = 6764799600. Its totient is φ = 533707200.

The previous prime is 2001410947. The next prime is 2001411001. The reversal of 2001411000 is 1141002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001411001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102190 + ... + 120189.

Almost surely, 22001411000 is an apocalyptic number.

2001411000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001411000 is an abundant number, since it is smaller than the sum of its proper divisors (4763388600).

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

2001411000 is a wasteful number, since it uses less digits than its factorization.

2001411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222406 (or 222389 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001411000 is about 44737.1322281614. The cubic root of 2001411000 is about 1260.2172716779.

Adding to 2001411000 its reverse (1141002), we get a palindrome (2002552002).

The spelling of 2001411000 in words is "two billion, one million, four hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 222379 444758 667137 889516 1111895 1334274 1779032 2001411 2223790 2668548 3335685 4002822 4447580 5337096 5559475 6671370 8005644 8895160 10007055 11118950 13342740 16011288 16678425 20014110 22237900 26685480 27797375 33356850 40028220 44475800 50035275 55594750 66713700 80056440 83392125 100070550 111189500 133427400 166784250 200141100 222379000 250176375 333568500 400282200 500352750 667137000 1000705500 2001411000