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2003131000 = 235313154087
BaseRepresentation
bin111011101100101…
…0101101001111000
312011121020121011001
41313121111221320
513100300143000
6530434014344
7100432222033
oct16731255170
95147217131
102003131000
11938795a72
1247aa173b4
1325c002520
1415007201a
15bacd046a
hex77655a78

2003131000 has 64 divisors (see below), whose sum is σ = 5047922880. Its totient is φ = 739612800.

The previous prime is 2003130991. The next prime is 2003131001. The reversal of 2003131000 is 1313002.

It is a super-2 number, since 2×20031310002 = 8025067606322000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003131001) 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, 64044 + ... + 90043.

It is an arithmetic number, because the mean of its divisors is an integer number (78873795).

Almost surely, 22003131000 is an apocalyptic number.

2003131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003131000 is an abundant number, since it is smaller than the sum of its proper divisors (3044791880).

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

2003131000 is a wasteful number, since it uses less digits than its factorization.

2003131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154121 (or 154107 counting only the distinct ones).

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

The square root of 2003131000 is about 44756.3515045630. The cubic root of 2003131000 is about 1260.5781759050.

Adding to 2003131000 its reverse (1313002), we get a palindrome (2004444002).

The spelling of 2003131000 in words is "two billion, three million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 154087 308174 616348 770435 1232696 1540870 2003131 3081740 3852175 4006262 6163480 7704350 8012524 10015655 15408700 16025048 19260875 20031310 30817400 38521750 40062620 50078275 77043500 80125240 100156550 154087000 200313100 250391375 400626200 500782750 1001565500 2003131000