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10310130000 = 243254971181
BaseRepresentation
bin10011001101000100…
…00001100101010000
3222121112022212111200
421212202001211100
5132103343130000
64423021511200
7513331442022
oct114642014520
928545285450
1010310130000
1144108882a5
121bb8a12500
13c84024051
146db412012
1540521d500
hex266881950

10310130000 has 300 divisors, whose sum is σ = 36458570148. Its totient is φ = 2718720000.

The previous prime is 10310129993. The next prime is 10310130079. The reversal of 10310130000 is 3101301.

It can be written as a sum of positive squares in 10 ways, for example, as 5799127104 + 4511002896 = 76152^2 + 67164^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8729410 + ... + 8730590.

Almost surely, 210310130000 is an apocalyptic number.

10310130000 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 10310130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229285074).

10310130000 is an abundant number, since it is smaller than the sum of its proper divisors (26148440148).

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

10310130000 is a wasteful number, since it uses less digits than its factorization.

10310130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1288 counting only the distinct ones).

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

Adding to 10310130000 its reverse (3101301), we get a palindrome (10313231301).

The spelling of 10310130000 in words is "ten billion, three hundred ten million, one hundred thirty thousand".