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10020003000 = 233537974919
BaseRepresentation
bin10010101010011110…
…10001110010111000
3221212022101220002020
421111033101302320
5131010110044000
64334135234440
7503206422510
oct112517216270
927768356066
1010020003000
114282037617
121b37818a20
13c38ba2077
146b0a8c840
153d9a0eba0
hex2553d1cb8

10020003000 has 256 divisors, whose sum is σ = 36104140800. Its totient is φ = 2266214400.

The previous prime is 10020002989. The next prime is 10020003011. The reversal of 10020003000 is 30002001.

10020003000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10020002989) and next prime (10020003011).

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 a self number, because there is not a number n which added to its sum of digits gives 10020003000.

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 63 ways as a sum of consecutive naturals, for example, 2034541 + ... + 2039459.

It is an arithmetic number, because the mean of its divisors is an integer number (141031800).

Almost surely, 210020003000 is an apocalyptic number.

10020003000 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 10020003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052070400).

10020003000 is an abundant number, since it is smaller than the sum of its proper divisors (26084137800).

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

10020003000 is a wasteful number, since it uses less digits than its factorization.

10020003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5033 counting only the distinct ones).

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

Adding to 10020003000 its reverse (30002001), we get a palindrome (10050005001).

Subtracting from 10020003000 its reverse (30002001), we obtain a palindrome (9990000999).

The spelling of 10020003000 in words is "ten billion, twenty million, three thousand".