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1002010301424 = 2432116118795519
BaseRepresentation
bin11101001010011000111…
…01111101001111110000
310112210100211011022121100
432211030131331033300
5112404104114121144
62044152302124400
7132251515014066
oct16451435751760
93483324138540
101002010301424
11356a4a769130
12142243280700
137364890ba02
14366d7424036
151b0e7eb1269
hexe94c77d3f0

1002010301424 has 240 divisors, whose sum is σ = 3111536563200. Its totient is φ = 298448755200.

The previous prime is 1002010301329. The next prime is 1002010301441. The reversal of 1002010301424 is 4241030102001.

1002010301424 is a `hidden beast` number, since 10 + 0 + 201 + 0 + 30 + 1 + 424 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002010301397 and 1002010301406.

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, 181553737 + ... + 181559255.

It is an arithmetic number, because the mean of its divisors is an integer number (12964735680).

Almost surely, 21002010301424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002010301424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555768281600).

1002010301424 is an abundant number, since it is smaller than the sum of its proper divisors (2109526261776).

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

1002010301424 is a wasteful number, since it uses less digits than its factorization.

1002010301424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484 (or 7475 counting only the distinct ones).

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

Adding to 1002010301424 its reverse (4241030102001), we get a palindrome (5243040403425).

The spelling of 1002010301424 in words is "one trillion, two billion, ten million, three hundred one thousand, four hundred twenty-four".