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20011210000 = 245417532221
BaseRepresentation
bin10010101000110000…
…101101010100010000
31220122121121210110221
4102220300231110100
5311440332210000
613105405402424
71305616323055
oct225060552420
956577553427
1020011210000
118539896291
123a65869414
131b6bb01182
14d7b9a302c
157c1c3261a
hex4a8c2d510

20011210000 has 200 divisors, whose sum is σ = 52290530424. Its totient is φ = 7388160000.

The previous prime is 20011209997. The next prime is 20011210057. The reversal of 20011210000 is 1211002.

It can be written as a sum of positive squares in 20 ways, for example, as 16033637376 + 3977572624 = 126624^2 + 63068^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9008890 + ... + 9011110.

Almost surely, 220011210000 is an apocalyptic number.

20011210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26145265212).

20011210000 is an abundant number, since it is smaller than the sum of its proper divisors (32279320424).

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

20011210000 is a wasteful number, since it uses less digits than its factorization.

20011210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2298 counting only the distinct ones).

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

Adding to 20011210000 its reverse (1211002), we get a palindrome (20012421002).

The spelling of 20011210000 in words is "twenty billion, eleven million, two hundred ten thousand".