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20030000100 = 2235211173071163
BaseRepresentation
bin10010101001111000…
…011000101111100100
31220200220222102122120
4102221320120233210
5312010140000400
613111320225540
71306235122515
oct225170305744
956626872576
1020030000100
11854945a5a0
123a7000b2b0
131b7297c986
14d80294a0c
157c36e4ca0
hex4a9e18be4

20030000100 has 288 divisors, whose sum is σ = 67216697856. Its totient is φ = 4551321600.

The previous prime is 20030000071. The next prime is 20030000113. The reversal of 20030000100 is 100003002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 95 ways as a sum of consecutive naturals, for example, 17222119 + ... + 17223281.

It is an arithmetic number, because the mean of its divisors is an integer number (233391312).

Almost surely, 220030000100 is an apocalyptic number.

20030000100 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 20030000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33608348928).

20030000100 is an abundant number, since it is smaller than the sum of its proper divisors (47186697756).

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

20030000100 is a wasteful number, since it uses less digits than its factorization.

20030000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 20030000100 its reverse (100003002), we get a palindrome (20130003102).

The spelling of 20030000100 in words is "twenty billion, thirty million, one hundred", and thus it is an aban number.