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10335130000 = 245413107743
BaseRepresentation
bin10011010000000010…
…11001000110010000
3222200021101000001121
421220001121012100
5132131243130000
64425313412024
7514054104226
oct115001310620
928607330047
1010335130000
114423a03158
12200526a014
13c89268250
1470087cb16
1540750ab1a
hex268059190

10335130000 has 200 divisors, whose sum is σ = 27235631808. Its totient is φ = 3775296000.

The previous prime is 10335129941. The next prime is 10335130031. The reversal of 10335130000 is 3153301.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 13909629 + ... + 13910371.

Almost surely, 210335130000 is an apocalyptic number.

10335130000 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 10335130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617815904).

10335130000 is an abundant number, since it is smaller than the sum of its proper divisors (16900501808).

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

10335130000 is a wasteful number, since it uses less digits than its factorization.

10335130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

Adding to 10335130000 its reverse (3153301), we get a palindrome (10338283301).

The spelling of 10335130000 in words is "ten billion, three hundred thirty-five million, one hundred thirty thousand".