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2002031000 = 235313611471
BaseRepresentation
bin111011101010100…
…1001000110011000
312011112011201020022
41313111021012120
513100004443000
6530354250012
7100416661034
oct16725110630
95145151208
102002031000
11938104582
1247a586908
1325ba08938
1414dc671c4
15bab64585
hex77549198

2002031000 has 64 divisors (see below), whose sum is σ = 4691381760. Its totient is φ = 799680000.

The previous prime is 2002030999. The next prime is 2002031033. The reversal of 2002031000 is 1302002.

It is a super-2 number, since 2×20020310002 = 8016256249922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 1360265 + ... + 1361735.

It is an arithmetic number, because the mean of its divisors is an integer number (73302840).

Almost surely, 22002031000 is an apocalyptic number.

2002031000 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 2002031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345690880).

2002031000 is an abundant number, since it is smaller than the sum of its proper divisors (2689350760).

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

2002031000 is a wasteful number, since it uses less digits than its factorization.

2002031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2002031000 is about 44744.0610584243. The cubic root of 2002031000 is about 1260.3473888871.

Adding to 2002031000 its reverse (1302002), we get a palindrome (2003333002).

The spelling of 2002031000 in words is "two billion, two million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1361 1471 2722 2942 5444 5884 6805 7355 10888 11768 13610 14710 27220 29420 34025 36775 54440 58840 68050 73550 136100 147100 170125 183875 272200 294200 340250 367750 680500 735500 1361000 1471000 2002031 4004062 8008124 10010155 16016248 20020310 40040620 50050775 80081240 100101550 200203100 250253875 400406200 500507750 1001015500 2002031000