Search a number
-
+
10003230000 = 24335437049
BaseRepresentation
bin10010101000011110…
…10010110100110000
3221211010211201212000
421110033102310300
5130441311330000
64332335534000
7502614023601
oct112417226460
927733751760
1010003230000
114273620835
121b3208a300
13c3557b70a
146ac763da8
153d82ea000
hex2543d2d30

10003230000 has 200 divisors, whose sum is σ = 35880702000. Its totient is φ = 2667456000.

The previous prime is 10003229993. The next prime is 10003230019. The reversal of 10003230000 is 3230001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×100032300002 (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 39 ways as a sum of consecutive naturals, for example, 251476 + ... + 288524.

It is an arithmetic number, because the mean of its divisors is an integer number (179403510).

Almost surely, 210003230000 is an apocalyptic number.

10003230000 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 10003230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940351000).

10003230000 is an abundant number, since it is smaller than the sum of its proper divisors (25877472000).

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

10003230000 is an equidigital number, since it uses as much as digits as its factorization.

10003230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37086 (or 37059 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10003230000 its reverse (3230001), we get a palindrome (10006460001).

Subtracting from 10003230000 its reverse (3230001), we obtain a palindrome (9999999999).

The spelling of 10003230000 in words is "ten billion, three million, two hundred thirty thousand".