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10052343000 = 233453717729
BaseRepresentation
bin10010101110010101…
…01001010011011000
3221221120020221020000
421113022221103120
5131041344434000
64341252333000
7504051335310
oct112712512330
927846227200
1010052343000
114299316097
121b46614160
13c427b616b
146b50aa440
153dc79c000
hex2572a94d8

10052343000 has 320 divisors, whose sum is σ = 40160577600. Its totient is φ = 2297548800.

The previous prime is 10052342969. The next prime is 10052343001. The reversal of 10052343000 is 34325001.

10052343000 is a `hidden beast` number, since 100 + 523 + 43 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052343001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 558136 + ... + 575864.

It is an arithmetic number, because the mean of its divisors is an integer number (125501805).

Almost surely, 210052343000 is an apocalyptic number.

10052343000 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 10052343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20080288800).

10052343000 is an abundant number, since it is smaller than the sum of its proper divisors (30108234600).

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

10052343000 is a wasteful number, since it uses less digits than its factorization.

10052343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17769 (or 17746 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10052343000 its reverse (34325001), we get a palindrome (10086668001).

The spelling of 10052343000 in words is "ten billion, fifty-two million, three hundred forty-three thousand".