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10013010000 = 24354747681
BaseRepresentation
bin10010101001101001…
…00110100001010000
3221211211020121111020
421110310212201100
5131001312310000
64333325315440
7503063115660
oct112464464120
927754217436
1010013010000
1142790a0684
121b35405b80
13c375c40b6
146adb8c1a0
153d90ccba0
hex254d26850

10013010000 has 200 divisors, whose sum is σ = 36941724864. Its totient is φ = 2288640000.

The previous prime is 10013009999. The next prime is 10013010019. The reversal of 10013010000 is 1031001.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186160 + ... + 233840.

Almost surely, 210013010000 is an apocalyptic number.

10013010000 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 10013010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18470862432).

10013010000 is an abundant number, since it is smaller than the sum of its proper divisors (26928714864).

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

10013010000 is an equidigital number, since it uses as much as digits as its factorization.

10013010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47719 (or 47698 counting only the distinct ones).

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

Adding to 10013010000 its reverse (1031001), we get a palindrome (10014041001).

The spelling of 10013010000 in words is "ten billion, thirteen million, ten thousand".