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2031002000 = 24531015501
BaseRepresentation
bin111100100001110…
…1010000110010000
312020112200120222022
41321003222012100
513124414031000
6533311231012
7101221142426
oct17103520620
95215616868
102031002000
119524a1955
12488218468
13264a10441
14153a49116
15bd488585
hex790ea190

2031002000 has 40 divisors (see below), whose sum is σ = 4910967672. Its totient is φ = 812400000.

The previous prime is 2031001993. The next prime is 2031002003. The reversal of 2031002000 is 2001302.

It can be written as a sum of positive squares in 4 ways, for example, as 22886656 + 2008115344 = 4784^2 + 44812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (2031002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505751 + ... + 509750.

Almost surely, 22031002000 is an apocalyptic number.

2031002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031002000 is an abundant number, since it is smaller than the sum of its proper divisors (2879965672).

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

2031002000 is a wasteful number, since it uses less digits than its factorization.

2031002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015524 (or 1015508 counting only the distinct ones).

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

The square root of 2031002000 is about 45066.6395463429. The cubic root of 2031002000 is about 1266.3977114401.

Adding to 2031002000 its reverse (2001302), we get a palindrome (2033003302).

The spelling of 2031002000 in words is "two billion, thirty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1015501 2031002 4062004 5077505 8124008 10155010 16248016 20310020 25387525 40620040 50775050 81240080 101550100 126937625 203100200 253875250 406200400 507750500 1015501000 2031002000