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210010201000 = 2353210010201
BaseRepresentation
bin1100001110010110010…
…1010101101110101000
3202002001222020120202121
43003211211111232220
511420100102413000
6240251035241024
721113151153325
oct3034545255650
9662058216677
10210010201000
1181079313396
123484bba9174
1316a5b16b832
14a24373bb4c
1556e2199b1a
hex30e5955ba8

210010201000 has 32 divisors (see below), whose sum is σ = 491423872680. Its totient is φ = 84004080000.

The previous prime is 210010200991. The next prime is 210010201033. The reversal of 210010201000 is 102010012.

210010201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 132660579076 + 77349621924 = 364226^2 + 278118^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105004101 + ... + 105006100.

Almost surely, 2210010201000 is an apocalyptic number.

210010201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010201000 is an abundant number, since it is smaller than the sum of its proper divisors (281413671680).

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

210010201000 is a wasteful number, since it uses less digits than its factorization.

210010201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210010222 (or 210010208 counting only the distinct ones).

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

Adding to 210010201000 its reverse (102010012), we get a palindrome (210112211012).

The spelling of 210010201000 in words is "two hundred ten billion, ten million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 210010201 420020402 840040804 1050051005 1680081608 2100102010 4200204020 5250255025 8400408040 10500510050 21001020100 26251275125 42002040200 52502550250 105005100500 210010201000