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2013100240 = 24547535399
BaseRepresentation
bin111011111111101…
…0111100011010000
312012022000002101011
41313333113203100
513110323201430
6531431420304
7100613032624
oct16777274320
95168002334
102013100240
11943385008
12482224694
132610b3098
14151509184
15bbaee22a
hex77fd78d0

2013100240 has 40 divisors (see below), whose sum is σ = 4780051200. Its totient is φ = 788105856.

The previous prime is 2013100211. The next prime is 2013100249. The reversal of 2013100240 is 420013102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2013100240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013100249) 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, 263940 + ... + 271459.

It is an arithmetic number, because the mean of its divisors is an integer number (119501280).

Almost surely, 22013100240 is an apocalyptic number.

2013100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013100240 is an abundant number, since it is smaller than the sum of its proper divisors (2766950960).

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

2013100240 is a wasteful number, since it uses less digits than its factorization.

2013100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535459 (or 535453 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2013100240 is about 44867.5856270426. The cubic root of 2013100240 is about 1262.6659434849.

Adding to 2013100240 its reverse (420013102), we get a palindrome (2433113342).

The spelling of 2013100240 in words is "two billion, thirteen million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 535399 1070798 2141596 2676995 4283192 5353990 8566384 10707980 21415960 25163753 42831920 50327506 100655012 125818765 201310024 251637530 402620048 503275060 1006550120 2013100240