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10010130000 = 243541325667
BaseRepresentation
bin10010101001010011…
…00111011001010000
3221211121211021212120
421110221213121100
5131000043130000
64333143454240
7503026462323
oct112451473120
927747737776
1010010130000
114277503912
121b34457380
13c36b26260
146ad63c7ba
153d8c0e6a0
hex254a67650

10010130000 has 200 divisors, whose sum is σ = 34801085088. Its totient is φ = 2463936000.

The previous prime is 10010129963. The next prime is 10010130001. The reversal of 10010130000 is 3101001.

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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010130001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 377167 + ... + 402833.

Almost surely, 210010130000 is an apocalyptic number.

10010130000 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 10010130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400542544).

10010130000 is an abundant number, since it is smaller than the sum of its proper divisors (24790955088).

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

10010130000 is a wasteful number, since it uses less digits than its factorization.

10010130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25711 (or 25690 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 10010130000 its reverse (3101001), we get a palindrome (10013231001).

The spelling of 10010130000 in words is "ten billion, ten million, one hundred thirty thousand".