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20210130000 = 243254415477
BaseRepresentation
bin10010110100100111…
…100001110001010000
31221011110220222102100
4102310213201301100
5312342243130000
613141233120400
71313553161544
oct226447416120
957143828370
1020210130000
118631100885
123b003b9100
131ba109aa08
14d9a183a24
157d4426a00
hex4b49e1c50

20210130000 has 300 divisors, whose sum is σ = 72414810468. Its totient is φ = 5256960000.

The previous prime is 20210129993. The next prime is 20210130013. The reversal of 20210130000 is 3101202.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 13790274624 + 6419855376 = 117432^2 + 80124^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3687262 + ... + 3692738.

Almost surely, 220210130000 is an apocalyptic number.

20210130000 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 20210130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36207405234).

20210130000 is an abundant number, since it is smaller than the sum of its proper divisors (52204680468).

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

20210130000 is a wasteful number, since it uses less digits than its factorization.

20210130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20210130000 its reverse (3101202), we get a palindrome (20213231202).

The spelling of 20210130000 in words is "twenty billion, two hundred ten million, one hundred thirty thousand".