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13100301000 = 2332535924671
BaseRepresentation
bin11000011001101011…
…01011101011001000
31020210222112020120100
430030311223223020
5203312134113000
610003532525400
7642431502243
oct141465535310
936728466510
1013100301000
115612862046
122657320860
13130a0bc4c7
148c3bd825a
1551a165a00
hex30cd6bac8

13100301000 has 192 divisors, whose sum is σ = 45031334400. Its totient is φ = 3434064000.

The previous prime is 13100300999. The next prime is 13100301037. The reversal of 13100301000 is 10300131.

13100301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518665 + ... + 543335.

It is an arithmetic number, because the mean of its divisors is an integer number (234538200).

Almost surely, 213100301000 is an apocalyptic number.

13100301000 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 13100301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22515667200).

13100301000 is an abundant number, since it is smaller than the sum of its proper divisors (31931033400).

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

13100301000 is a wasteful number, since it uses less digits than its factorization.

13100301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24757 (or 24740 counting only the distinct ones).

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

Adding to 13100301000 its reverse (10300131), we get a palindrome (13110601131).

The spelling of 13100301000 in words is "thirteen billion, one hundred million, three hundred one thousand".