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210210020000 = 255410510501
BaseRepresentation
bin1100001111000101111…
…1100101101010100000
3202002120220020102220022
43003301133211222200
511421002231120000
6240322534133012
721121125455111
oct3036137455240
9662526212808
10210210020000
1181171092362
12348a6ab1168
1316a90691626
14a2620b4208
1557049ba585
hex30f17e5aa0

210210020000 has 60 divisors (see below), whose sum is σ = 517148229906. Its totient is φ = 84084000000.

The previous prime is 210210019973. The next prime is 210210020023. The reversal of 210210020000 is 20012012.

210210020000 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 5 ways, for example, as 12266891536 + 197943128464 = 110756^2 + 444908^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 210210020000.

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 9 ways as a sum of consecutive naturals, for example, 5235251 + ... + 5275250.

Almost surely, 2210210020000 is an apocalyptic number.

210210020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210210020000 is an abundant number, since it is smaller than the sum of its proper divisors (306938209906).

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

210210020000 is an equidigital number, since it uses as much as digits as its factorization.

210210020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510531 (or 10510508 counting only the distinct ones).

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

Adding to 210210020000 its reverse (20012012), we get a palindrome (210230032012).

The spelling of 210210020000 in words is "two hundred ten billion, two hundred ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 10510501 21021002 42042004 52552505 84084008 105105010 168168016 210210020 262762525 336336032 420420040 525525050 840840080 1051050100 1313812625 1681680160 2102100200 2627625250 4204200400 5255250500 6569063125 8408400800 10510501000 13138126250 21021002000 26276252500 42042004000 52552505000 105105010000 210210020000