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10403220000 = 25354832089
BaseRepresentation
bin10011011000001010…
…01000101000100000
3222212000111022222110
421230011020220200
5132301211020000
64440145035320
7515541624315
oct115405105040
928760438873
1010403220000
11445938a188
122024025b40
13c9a3b85a4
14709924d0c
1540d4aa850
hex26c148a20

10403220000 has 240 divisors, whose sum is σ = 34552314720. Its totient is φ = 2739456000.

The previous prime is 10403219977. The next prime is 10403220011. The reversal of 10403220000 is 2230401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4978956 + ... + 4981044.

It is an arithmetic number, because the mean of its divisors is an integer number (143967978).

Almost surely, 210403220000 is an apocalyptic number.

10403220000 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 10403220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276157360).

10403220000 is an abundant number, since it is smaller than the sum of its proper divisors (24149094720).

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

10403220000 is an equidigital number, since it uses as much as digits as its factorization.

10403220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10403220000 its reverse (2230401), we get a palindrome (10405450401).

The spelling of 10403220000 in words is "ten billion, four hundred three million, two hundred twenty thousand".