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23144121000 = 233253721113367
BaseRepresentation
bin10101100011011111…
…110100001010101000
32012201221202011102200
4111203133310022220
5334344343333000
614344322500200
71446350532300
oct254337641250
965657664380
1023144121000
1198a7286730
12459ab04660
13224abb0170
141197ac6600
15906ccc500
hex5637f42a8

23144121000 has 1152 divisors, whose sum is σ = 107199106560. Its totient is φ = 4427136000.

The previous prime is 23144120999. The next prime is 23144121001. The reversal of 23144121000 is 12144132.

It is an interprime number because it is at equal distance from previous prime (23144120999) and next prime (23144121001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23144121001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63062817 + ... + 63063183.

It is an arithmetic number, because the mean of its divisors is an integer number (93054780).

Almost surely, 223144121000 is an apocalyptic number.

23144121000 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 23144121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53599553280).

23144121000 is an abundant number, since it is smaller than the sum of its proper divisors (84054985560).

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

23144121000 is a wasteful number, since it uses less digits than its factorization.

23144121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23144121000 its reverse (12144132), we get a palindrome (23156265132).

The spelling of 23144121000 in words is "twenty-three billion, one hundred forty-four million, one hundred twenty-one thousand".