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20201310000 = 2432541931163
BaseRepresentation
bin10010110100000101…
…111000011100110000
31221010212022212122200
4102310011320130300
5312333013410000
613140320103200
71313415205344
oct226405703460
957125285580
1020201310000
118627127223
123ab9464b00
131b9c300291
14d98d29624
157d3783500
hex4b4178730

20201310000 has 300 divisors, whose sum is σ = 71074005288. Its totient is φ = 5354496000.

The previous prime is 20201309993. The next prime is 20201310049. The reversal of 20201310000 is 1310202.

It is a happy number.

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

It is a super-2 number, since 2×202013100002 (a number of 21 digits) contains 22 as substring.

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

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, 17369419 + ... + 17370581.

Almost surely, 220201310000 is an apocalyptic number.

20201310000 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 20201310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35537002644).

20201310000 is an abundant number, since it is smaller than the sum of its proper divisors (50872695288).

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

20201310000 is a wasteful number, since it uses less digits than its factorization.

20201310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1366 counting only the distinct ones).

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

Adding to 20201310000 its reverse (1310202), we get a palindrome (20202620202).

The spelling of 20201310000 in words is "twenty billion, two hundred one million, three hundred ten thousand".