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102431241000 = 233253111034659
BaseRepresentation
bin101111101100101100…
…0001011001100101000
3100210101121110011220200
41133121120023030220
53134234344203000
6115020052552200
710254225116454
oct1373130131450
9323347404820
10102431241000
113a493846490
1217a28022660
13987541619a
144d59cd3664
1529e78d2500
hex17d960b328

102431241000 has 192 divisors, whose sum is σ = 377692286400. Its totient is φ = 24831792000.

The previous prime is 102431240981. The next prime is 102431241001. The reversal of 102431241000 is 142134201.

102431241000 is a `hidden beast` number, since 1 + 0 + 243 + 12 + 410 + 0 + 0 = 666.

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 (102431241001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418330 + ... + 616329.

It is an arithmetic number, because the mean of its divisors is an integer number (1967147325).

Almost surely, 2102431241000 is an apocalyptic number.

102431241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102431241000 is an abundant number, since it is smaller than the sum of its proper divisors (275261045400).

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

102431241000 is a wasteful number, since it uses less digits than its factorization.

102431241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034697 (or 1034680 counting only the distinct ones).

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

Adding to 102431241000 its reverse (142134201), we get a palindrome (102573375201).

The spelling of 102431241000 in words is "one hundred two billion, four hundred thirty-one million, two hundred forty-one thousand".