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10000210000 = 24541190911
BaseRepresentation
bin10010101000000111…
…10001100001010000
3221210221011022012011
421110003301201100
5130440023210000
64332151112304
7502546245124
oct112403614120
927727138164
1010000210000
114271948870
121b31072694
13c34a61c31
146ac1b9584
153d7e002ba
hex2540f1850

10000210000 has 100 divisors (see below), whose sum is σ = 26412845184. Its totient is φ = 3636400000.

The previous prime is 10000209959. The next prime is 10000210007. The reversal of 10000210000 is 1200001.

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 (4).

10000210000 is a modest number, since divided by 210000 gives 10000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000210007) 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, 64545 + ... + 155455.

Almost surely, 210000210000 is an apocalyptic number.

10000210000 is a gapful number since it is divisible by the number (10) 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 10000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206422592).

10000210000 is an abundant number, since it is smaller than the sum of its proper divisors (16412635184).

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

10000210000 is an equidigital number, since it uses as much as digits as its factorization.

10000210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90950 (or 90929 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 10000210000 its reverse (1200001), we get a palindrome (10001410001).

Subtracting from 10000210000 its reverse (1200001), we obtain a palindrome (9999009999).

The spelling of 10000210000 in words is "ten billion, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 90911 110000 181822 363644 454555 727288 909110 1000021 1454576 1818220 2000042 2272775 3636440 4000084 4545550 5000105 7272880 8000168 9091100 10000210 11363875 16000336 18182200 20000420 22727750 25000525 36364400 40000840 45455500 50001050 56819375 80001680 90911000 100002100 113638750 125002625 181822000 200004200 227277500 250005250 400008400 454555000 500010500 625013125 909110000 1000021000 1250026250 2000042000 2500052500 5000105000 10000210000