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102434530000 = 2454111039041
BaseRepresentation
bin101111101100110010…
…0101110001011010000
3100210101211122021120111
41133121210232023100
53134241214430000
6115020251251104
710254265065415
oct1373144561320
9323354567514
10102434530000
113a495692570
1217a29149a94
139875cc823a
144d5a50c10c
1529e7d31cba
hex17d992e2d0

102434530000 has 200 divisors, whose sum is σ = 273206995776. Its totient is φ = 36883200000.

The previous prime is 102434529889. The next prime is 102434530001. The reversal of 102434530000 is 35434201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102434530001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11325480 + ... + 11334520.

Almost surely, 2102434530000 is an apocalyptic number.

102434530000 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 102434530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136603497888).

102434530000 is an abundant number, since it is smaller than the sum of its proper divisors (170772465776).

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

102434530000 is a wasteful number, since it uses less digits than its factorization.

102434530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 102434530000 its reverse (35434201), we get a palindrome (102469964201).

The spelling of 102434530000 in words is "one hundred two billion, four hundred thirty-four million, five hundred thirty thousand".