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2003113104 = 243371796301
BaseRepresentation
bin111011101100101…
…0001010010010000
312011121012200121020
41313121101102100
513100244104404
6530433355440
7100432115616
oct16731212220
95147180536
102003113104
11938783583
1247aa08b80
1325bcc7335
141500696b6
15bacc9ed9
hex77651490

2003113104 has 80 divisors (see below), whose sum is σ = 5345104320. Its totient is φ = 645926400.

The previous prime is 2003113061. The next prime is 2003113117. The reversal of 2003113104 is 4013113002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314754 + ... + 321054.

It is an arithmetic number, because the mean of its divisors is an integer number (66813804).

Almost surely, 22003113104 is an apocalyptic number.

2003113104 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 2003113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672552160).

2003113104 is an abundant number, since it is smaller than the sum of its proper divisors (3341991216).

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

2003113104 is a wasteful number, since it uses less digits than its factorization.

2003113104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2003113104 is about 44756.1515771855. The cubic root of 2003113104 is about 1260.5744218862.

Adding to 2003113104 its reverse (4013113002), we get a palindrome (6016226106).

The spelling of 2003113104 in words is "two billion, three million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 179 222 296 358 444 537 592 716 888 1074 1432 1776 2148 2864 4296 6301 6623 8592 12602 13246 18903 19869 25204 26492 37806 39738 50408 52984 75612 79476 100816 105968 151224 158952 233137 302448 317904 466274 699411 932548 1127879 1398822 1865096 2255758 2797644 3383637 3730192 4511516 5595288 6767274 9023032 11190576 13534548 18046064 27069096 41731523 54138192 83463046 125194569 166926092 250389138 333852184 500778276 667704368 1001556552 2003113104