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20000210000 = 24544148781
BaseRepresentation
bin10010101000000110…
…101111110001010000
31220121211220221022112
4102220012233301100
5311430023210000
613104333524452
71305423660101
oct225006576120
956554827275
1020000210000
118533662881
123a62043728
131b6974c3b4
14d7a33c3a8
157c0cad235
hex4a81afc50

20000210000 has 100 divisors (see below), whose sum is σ = 49604562084. Its totient is φ = 7804800000.

The previous prime is 20000209979. The next prime is 20000210003. The reversal of 20000210000 is 1200002.

It can be written as a sum of positive squares in 10 ways, for example, as 19871977024 + 128232976 = 140968^2 + 11324^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

20000210000 is a modest number, since divided by 210000 gives 20000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 385610 + ... + 434390.

Almost surely, 220000210000 is an apocalyptic number.

20000210000 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 20000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24802281042).

20000210000 is an abundant number, since it is smaller than the sum of its proper divisors (29604352084).

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

20000210000 is an equidigital number, since it uses as much as digits as its factorization.

20000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48850 (or 48829 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 20000210000 its reverse (1200002), we get a palindrome (20001410002).

The spelling of 20000210000 in words is "twenty billion, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 41000 48781 51250 82000 97562 102500 195124 205000 243905 390248 410000 487810 780496 975620 1219525 1951240 2000021 2439050 3902480 4000042 4878100 6097625 8000084 9756200 10000105 12195250 16000168 19512400 20000210 24390500 30488125 32000336 40000420 48781000 50000525 60976250 80000840 97562000 100001050 121952500 160001680 200002100 243905000 250002625 400004200 487810000 500005250 800008400 1000010500 1250013125 2000021000 2500026250 4000042000 5000052500 10000105000 20000210000