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210210001000 = 2353210210001
BaseRepresentation
bin1100001111000101111…
…1100001000001101000
3202002120220012110211121
43003301133201001220
511421002230013000
6240322533505024
721121125345526
oct3036137410150
9662526173747
10210210001000
118117107a05a
12348a6aa2174
1316a90685a9c
14a2620ab316
1557049b4b1a
hex30f17e1068

210210001000 has 32 divisors (see below), whose sum is σ = 491891404680. Its totient is φ = 84084000000.

The previous prime is 210210000989. The next prime is 210210001037. The reversal of 210210001000 is 100012012.

It can be written as a sum of positive squares in 4 ways, for example, as 137669197444 + 72540803556 = 371038^2 + 269334^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105104001 + ... + 105106000.

Almost surely, 2210210001000 is an apocalyptic number.

210210001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210210001000 is an abundant number, since it is smaller than the sum of its proper divisors (281681403680).

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

210210001000 is a wasteful number, since it uses less digits than its factorization.

210210001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210210022 (or 210210008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 210210001000 its reverse (100012012), we get a palindrome (210310013012).

The spelling of 210210001000 in words is "two hundred ten billion, two hundred ten million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 210210001 420420002 840840004 1051050005 1681680008 2102100010 4204200020 5255250025 8408400040 10510500050 21021000100 26276250125 42042000200 52552500250 105105000500 210210001000