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24412102000 = 24531113175021
BaseRepresentation
bin10110101111000100…
…110001110101110000
32100000022200021100221
4112233010301311300
5344443444231000
615114220022424
71522645305016
oct265704616560
970008607327
1024412102000
11a397aa4610
124893691a14
1323c07b7190
1412782708b6
1597d29561a
hex5af131d70

24412102000 has 320 divisors, whose sum is σ = 73442049408. Its totient is φ = 7710720000.

The previous prime is 24412101827. The next prime is 24412102003. The reversal of 24412102000 is 20121442.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24412102003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4859490 + ... + 4864510.

Almost surely, 224412102000 is an apocalyptic number.

24412102000 is a gapful number since it is divisible by the number (20) 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 24412102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36721024704).

24412102000 is an abundant number, since it is smaller than the sum of its proper divisors (49029947408).

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

24412102000 is a wasteful number, since it uses less digits than its factorization.

24412102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 24412102000 its reverse (20121442), we get a palindrome (24432223442).

The spelling of 24412102000 in words is "twenty-four billion, four hundred twelve million, one hundred two thousand".