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102530412000 = 25325323123829
BaseRepresentation
bin101111101111101001…
…0011110110111100000
3100210122112001120221200
41133133102132313200
53134440241141000
6115033554321200
710256541056652
oct1373722366740
9323575046850
10102530412000
113a534821095
1217a55289200
13988cb29553
144d6914a6d2
152a01471500
hex17df49ede0

102530412000 has 288 divisors, whose sum is σ = 379704386880. Its totient is φ = 26152473600.

The previous prime is 102530411959. The next prime is 102530412011. The reversal of 102530412000 is 214035201.

102530412000 is a `hidden beast` number, since 1 + 0 + 253 + 0 + 412 + 0 + 0 + 0 = 666.

102530412000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766086 + ... + 889914.

It is an arithmetic number, because the mean of its divisors is an integer number (1318418010).

Almost surely, 2102530412000 is an apocalyptic number.

102530412000 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 102530412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189852193440).

102530412000 is an abundant number, since it is smaller than the sum of its proper divisors (277173974880).

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

102530412000 is a wasteful number, since it uses less digits than its factorization.

102530412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123883 (or 123862 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 102530412000 its reverse (214035201), we get a palindrome (102744447201).

The spelling of 102530412000 in words is "one hundred two billion, five hundred thirty million, four hundred twelve thousand".