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12301101000 = 2332532695081
BaseRepresentation
bin10110111010011001…
…11110011111001000
31011202021200200021100
423131030332133020
5200143040213000
65352343141400
7613555430136
oct133514763710
934667620240
1012301101000
115242718281
122473744860
1312106597b6
148499da756
154bedeaa00
hex2dd33e7c8

12301101000 has 192 divisors, whose sum is σ = 41740498800. Its totient is φ = 3267456000.

The previous prime is 12301100969. The next prime is 12301101019. The reversal of 12301101000 is 10110321.

It can be written as a sum of positive squares in 8 ways, for example, as 980566596 + 11320534404 = 31314^2 + 106398^2 .

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 47 ways as a sum of consecutive naturals, for example, 2418460 + ... + 2423540.

Almost surely, 212301101000 is an apocalyptic number.

12301101000 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 12301101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20870249400).

12301101000 is an abundant number, since it is smaller than the sum of its proper divisors (29439397800).

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

12301101000 is a wasteful number, since it uses less digits than its factorization.

12301101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12301101000 its reverse (10110321), we get a palindrome (12311211321).

The spelling of 12301101000 in words is "twelve billion, three hundred one million, one hundred one thousand".