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10303938000 = 24325317151223
BaseRepresentation
bin10011001100010100…
…11001110111010000
3222121002200021200100
421212022121313100
5132100302004000
64422241052400
7513225012366
oct114612316720
928532607610
1010303938000
114408339144
121bb6927100
13c82966845
146da67d636
154048e8a00
hex266299dd0

10303938000 has 480 divisors, whose sum is σ = 38529533952. Its totient is φ = 2557440000.

The previous prime is 10303937953. The next prime is 10303938019. The reversal of 10303938000 is 83930301.

It is a super-2 number, since 2×103039380002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46205889 + ... + 46206111.

Almost surely, 210303938000 is an apocalyptic number.

10303938000 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 10303938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19264766976).

10303938000 is an abundant number, since it is smaller than the sum of its proper divisors (28225595952).

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

10303938000 is a wasteful number, since it uses less digits than its factorization.

10303938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10303938000 in words is "ten billion, three hundred three million, nine hundred thirty-eight thousand".