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2003113000 = 235371915061
BaseRepresentation
bin111011101100101…
…0001010000101000
312011121012200110101
41313121101100220
513100244104000
6530433355144
7100432115410
oct16731212050
95147180411
102003113000
11938783499
1247aa08ab4
1325bcc7285
14150069640
15bacc9e6a
hex77651428

2003113000 has 128 divisors (see below), whose sum is σ = 5639212800. Its totient is φ = 650592000.

The previous prime is 2003112977. The next prime is 2003113039. The reversal of 2003113000 is 3113002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125470 + ... + 140530.

It is an arithmetic number, because the mean of its divisors is an integer number (44056350).

Almost surely, 22003113000 is an apocalyptic number.

2003113000 is a gapful number since it is divisible by the number (20) 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 2003113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819606400).

2003113000 is an abundant number, since it is smaller than the sum of its proper divisors (3636099800).

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

2003113000 is a wasteful number, since it uses less digits than its factorization.

2003113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15108 (or 15094 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2003113000 is about 44756.1504153340. The cubic root of 2003113000 is about 1260.5744000702.

Adding to 2003113000 its reverse (3113002), we get a palindrome (2006226002).

The spelling of 2003113000 in words is "two billion, three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 15061 16625 19000 26600 30122 33250 60244 66500 75305 105427 120488 133000 150610 210854 286159 301220 376525 421708 527135 572318 602440 753050 843416 1054270 1144636 1430795 1506100 1882625 2003113 2108540 2289272 2635675 2861590 3012200 3765250 4006226 4217080 5271350 5723180 7153975 7530500 8012452 10015565 10542700 11446360 13178375 14307950 15061000 16024904 20031130 21085400 26356750 28615900 35769875 40062260 50077825 52713500 57231800 71539750 80124520 100155650 105427000 143079500 200311300 250389125 286159000 400622600 500778250 1001556500 2003113000