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2013001104 = 2431012771499
BaseRepresentation
bin111011111111011…
…1111010110010000
312012021211001101110
41313332333112100
513110312013404
6531425333320
7100612140612
oct16776772620
95167731343
102013001104
11943317584
12482197240
13261079c1a
141514c0db2
15bbaceb89
hex77fbf590

2013001104 has 80 divisors (see below), whose sum is σ = 5274216000. Its totient is φ = 661516800.

The previous prime is 2013001103. The next prime is 2013001121. The reversal of 2013001104 is 4011003102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2013001104.

It is not an unprimeable number, because it can be changed into a prime (2013001103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342147 + ... + 1343645.

It is an arithmetic number, because the mean of its divisors is an integer number (65927700).

Almost surely, 22013001104 is an apocalyptic number.

2013001104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637108000).

2013001104 is an abundant number, since it is smaller than the sum of its proper divisors (3261214896).

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

2013001104 is a wasteful number, since it uses less digits than its factorization.

2013001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1882 counting only the distinct ones).

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

The square root of 2013001104 is about 44866.4808515221. The cubic root of 2013001104 is about 1262.6452162995.

Adding to 2013001104 its reverse (4011003102), we get a palindrome (6024004206).

The spelling of 2013001104 in words is "two billion, thirteen million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 277 303 404 554 606 808 831 1108 1212 1499 1616 1662 2216 2424 2998 3324 4432 4497 4848 5996 6648 8994 11992 13296 17988 23984 27977 35976 55954 71952 83931 111908 151399 167862 223816 302798 335724 415223 447632 454197 605596 671448 830446 908394 1211192 1245669 1342896 1660892 1816788 2422384 2491338 3321784 3633576 4982676 6643568 7267152 9965352 19930704 41937523 83875046 125812569 167750092 251625138 335500184 503250276 671000368 1006500552 2013001104