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130330300100 = 2252711131578293
BaseRepresentation
bin111100101100001001…
…0101000111011000100
3110110101221110020011212
41321120102220323010
54113404024100400
6135512314350552
712262464162260
oct1713022507304
9413357406155
10130330300100
1150300069520
122131342b458
13c3a0451090
1464452c90a0
1535cbd5a335
hex1e584a8ec4

130330300100 has 288 divisors, whose sum is σ = 382190704896. Its totient is φ = 37254297600.

The previous prime is 130330300081. The next prime is 130330300103. The reversal of 130330300100 is 1003033031.

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

It is not an unprimeable number, because it can be changed into a prime (130330300103) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15711554 + ... + 15719846.

Almost surely, 2130330300100 is an apocalyptic number.

130330300100 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 130330300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191095352448).

130330300100 is an abundant number, since it is smaller than the sum of its proper divisors (251860404796).

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

130330300100 is a wasteful number, since it uses less digits than its factorization.

130330300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 130330300100 its reverse (1003033031), we get a palindrome (131333333131).

The spelling of 130330300100 in words is "one hundred thirty billion, three hundred thirty million, three hundred thousand, one hundred".