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100300424000 = 2653723431811
BaseRepresentation
bin101110101101001011…
…1110000001101000000
3100120220002221110111112
41131122113300031000
53120403402032000
6114024414102452
710150352352140
oct1353227601500
9316802843445
10100300424000
113959aa7a0a7
12175324aaa28
1395c5b2851a
144bd6d04920
1529207ce235
hex175a5f0340

100300424000 has 448 divisors, whose sum is σ = 303277658112. Its totient is φ = 32110848000.

The previous prime is 100300423987. The next prime is 100300424039. The reversal of 100300424000 is 424003001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55383095 + ... + 55384905.

Almost surely, 2100300424000 is an apocalyptic number.

100300424000 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 100300424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151638829056).

100300424000 is an abundant number, since it is smaller than the sum of its proper divisors (202977234112).

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

100300424000 is a wasteful number, since it uses less digits than its factorization.

100300424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 100300424000 its reverse (424003001), we get a palindrome (100724427001).

The spelling of 100300424000 in words is "one hundred billion, three hundred million, four hundred twenty-four thousand".