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20210210000 = 245413271523
BaseRepresentation
bin10010110100100111…
…110101010011010000
31221011111002001011022
4102310213311103100
5312342303210000
613141234535012
71313553644021
oct226447652320
957144061138
1020210210000
1186311559a2
123b00437468
131ba10c8256
14d9a1a4c48
157d4440585
hex4b49f54d0

20210210000 has 100 divisors (see below), whose sum is σ = 48999964992. Its totient is φ = 8072688000.

The previous prime is 20210209973. The next prime is 20210210063. The reversal of 20210210000 is 1201202.

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20210210000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13269239 + ... + 13270761.

Almost surely, 220210210000 is an apocalyptic number.

20210210000 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 20210210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24499982496).

20210210000 is an abundant number, since it is smaller than the sum of its proper divisors (28789754992).

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

20210210000 is a wasteful number, since it uses less digits than its factorization.

20210210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2857 counting only the distinct ones).

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

Adding to 20210210000 its reverse (1201202), we get a palindrome (20211411202).

The spelling of 20210210000 in words is "twenty billion, two hundred ten 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 1327 1523 2000 2500 2654 3046 5000 5308 6092 6635 7615 10000 10616 12184 13270 15230 21232 24368 26540 30460 33175 38075 53080 60920 66350 76150 106160 121840 132700 152300 165875 190375 265400 304600 331750 380750 530800 609200 663500 761500 829375 951875 1327000 1523000 1658750 1903750 2021021 2654000 3046000 3317500 3807500 4042042 6635000 7615000 8084084 10105105 13270000 15230000 16168168 20210210 32336336 40420420 50525525 80840840 101051050 161681680 202102100 252627625 404204200 505255250 808408400 1010510500 1263138125 2021021000 2526276250 4042042000 5052552500 10105105000 20210210000