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10103130000 = 24345412473
BaseRepresentation
bin10010110100011000…
…11000011110010000
3222002002211011220000
421122030120132100
5131142400130000
64350305050000
7505236121335
oct113214303620
928062734800
1010103130000
114314a54117
121b5b626900
13c50188842
146bbb2a98c
153e1e80000
hex25a318790

10103130000 has 250 divisors, whose sum is σ = 36542969694. Its totient is φ = 2693952000.

The previous prime is 10103129999. The next prime is 10103130017. The reversal of 10103130000 is 3130101.

It can be written as a sum of positive squares in 5 ways, for example, as 2982470544 + 7120659456 = 54612^2 + 84384^2 .

It is a tau number, because it is divible by the number of its divisors (250).

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

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 803764 + ... + 816236.

Almost surely, 210103130000 is an apocalyptic number.

10103130000 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 10103130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271484847).

10103130000 is an abundant number, since it is smaller than the sum of its proper divisors (26439839694).

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

10103130000 is an equidigital number, since it uses as much as digits as its factorization.

10103130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12483 counting only the distinct ones).

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

Adding to 10103130000 its reverse (3130101), we get a palindrome (10106260101).

The spelling of 10103130000 in words is "ten billion, one hundred three million, one hundred thirty thousand".