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10250130000 = 243541189349
BaseRepresentation
bin10011000101111010…
…01001001001010000
3222110100102112222110
421202331021021100
5131443013130000
64413035505320
7512002444635
oct114275111120
928410375873
1010250130000
11438aa27420
121ba08b8240
13c747770a6
146d347418c
153eed1a850
hex262f49250

10250130000 has 400 divisors, whose sum is σ = 36607032000. Its totient is φ = 2449920000.

The previous prime is 10250129983. The next prime is 10250130001. The reversal of 10250130000 is 3105201.

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10250130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29369826 + ... + 29370174.

It is an arithmetic number, because the mean of its divisors is an integer number (91517580).

Almost surely, 210250130000 is an apocalyptic number.

10250130000 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 10250130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18303516000).

10250130000 is an abundant number, since it is smaller than the sum of its proper divisors (26356902000).

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

10250130000 is a wasteful number, since it uses less digits than its factorization.

10250130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 10250130000 its reverse (3105201), we get a palindrome (10253235201).

The spelling of 10250130000 in words is "ten billion, two hundred fifty million, one hundred thirty thousand".