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2001013014 = 23711132111579
BaseRepresentation
bin111011101000101…
…0000100100010110
312011110020222211010
41313101100210112
513044224404024
6530320353050
7100405221120
oct16721204426
95143228733
102001013014
11937579770
1247a175786
1325b740490
1414da80210
15baa12b29
hex77450916

2001013014 has 128 divisors (see below), whose sum is σ = 5402234880. Its totient is φ = 477187200.

The previous prime is 2001013013. The next prime is 2001013019. The reversal of 2001013014 is 4103101002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001013013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1266477 + ... + 1268055.

It is an arithmetic number, because the mean of its divisors is an integer number (42204960).

Almost surely, 22001013014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001013014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701117440).

2001013014 is an abundant number, since it is smaller than the sum of its proper divisors (3401221866).

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

2001013014 is a wasteful number, since it uses less digits than its factorization.

2001013014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2001013014 is about 44732.6839570353. The cubic root of 2001013014 is about 1260.1337336007.

Adding to 2001013014 its reverse (4103101002), we get a palindrome (6104114016).

The spelling of 2001013014 in words is "two billion, one million, thirteen thousand, fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 211 231 273 286 422 429 462 546 633 858 1001 1266 1477 1579 2002 2321 2743 2954 3003 3158 4431 4642 4737 5486 6006 6963 8229 8862 9474 11053 13926 16247 16458 17369 19201 20527 22106 30173 32494 33159 34738 38402 41054 48741 52107 57603 60346 61581 66318 90519 97482 104214 115206 121583 123162 143689 181038 211211 225797 243166 287378 333169 364749 422422 431067 451594 633633 666338 677391 729498 862134 999507 1267266 1354782 1580579 1999014 2332183 3161158 3664859 4331197 4664366 4741737 6996549 7329718 8662394 9483474 10994577 12993591 13993098 21989154 25654013 25987182 30318379 47643167 51308026 60636758 76962039 90955137 95286334 142929501 153924078 181910274 285859002 333502169 667004338 1000506507 2001013014