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100303302420 = 2232517194353757
BaseRepresentation
bin101110101101010001…
…0101110111100010100
3100120220022100200221200
41131122202232330110
53120410121134140
6114024555512500
710150416001056
oct1353242567424
9316808320850
10100303302420
11395a1665762
1217533458730
1395c65c5729
144bd74538d6
152920b9c030
hex175a8aef14

100303302420 has 576 divisors, whose sum is σ = 354006132480. Its totient is φ = 22824861696.

The previous prime is 100303302419. The next prime is 100303302461. The reversal of 100303302420 is 24203303001.

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 = 100303302393 and 100303302402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 132500682 + ... + 132501438.

It is an arithmetic number, because the mean of its divisors is an integer number (614593980).

Almost surely, 2100303302420 is an apocalyptic number.

100303302420 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 100303302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177003066240).

100303302420 is an abundant number, since it is smaller than the sum of its proper divisors (253702830060).

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

100303302420 is a wasteful number, since it uses less digits than its factorization.

100303302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100303302420 its reverse (24203303001), we get a palindrome (124506605421).

The spelling of 100303302420 in words is "one hundred billion, three hundred three million, three hundred two thousand, four hundred twenty".