Search a number
-
+
210002201210000 = 245421000220121
BaseRepresentation
bin101111101111111011110010…
…100110101110110010010000
31000112120000101110211100212002
4233233323302212232302100
5210011134002002210000
62022345402430053132
762143105212651023
oct5757736246566220
91015500343740762
10210002201210000
1160a05484922a91
121b677a0034a1a8
139024179480714
1439c02372271ba
15194298c38c8d5
hexbefef29aec90

210002201210000 has 50 divisors (see below), whose sum is σ = 508436329373742. Its totient is φ = 84000880480000.

The previous prime is 210002201209967. The next prime is 210002201210029. The reversal of 210002201210000 is 12102200012.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 63829361891584 + 146172839318416 = 7989328^2 + 12090196^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10500100061 + ... + 10500120060.

Almost surely, 2210002201210000 is an apocalyptic number.

210002201210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002201210000 is an abundant number, since it is smaller than the sum of its proper divisors (298434128163742).

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

210002201210000 is an equidigital number, since it uses as much as digits as its factorization.

210002201210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21000220149 (or 21000220128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210002201210000 its reverse (12102200012), we get a palindrome (210014303410012).

The spelling of 210002201210000 in words is "two hundred ten trillion, two billion, two hundred one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21000220121 42000440242 84000880484 105001100605 168001760968 210002201210 336003521936 420004402420 525005503025 840008804840 1050011006050 1680017609680 2100022012100 2625027515125 4200044024200 5250055030250 8400088048400 10500110060500 13125137575625 21000220121000 26250275151250 42000440242000 52500550302500 105001100605000 210002201210000