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10131030330000 = 243543141925999
BaseRepresentation
bin1001001101101101000001…
…1101101100101010010000
31022212111221220220200111120
42103123100131230222100
52311441322231030000
633314044151442240
72063641242644226
oct223332035545220
938774856820446
1010131030330000
113256600562348
121177565686380
13586476629478
142704b739cb16
151287e84796a0
hex936d076ca90

10131030330000 has 400 divisors, whose sum is σ = 33841167360000. Its totient is φ = 2608119360000.

The previous prime is 10131030329921. The next prime is 10131030330019. The reversal of 10131030330000 is 3303013101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389657001 + ... + 389682999.

It is an arithmetic number, because the mean of its divisors is an integer number (84602918400).

Almost surely, 210131030330000 is an apocalyptic number.

10131030330000 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 10131030330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920583680000).

10131030330000 is an abundant number, since it is smaller than the sum of its proper divisors (23710137030000).

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

10131030330000 is a wasteful number, since it uses less digits than its factorization.

10131030330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26480 (or 26459 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10131030330000 its reverse (3303013101), we get a palindrome (10134333343101).

The spelling of 10131030330000 in words is "ten trillion, one hundred thirty-one billion, thirty million, three hundred thirty thousand".