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130230313920 = 26335729411811
BaseRepresentation
bin111100101001001010…
…1001110001111000000
3110110010222022101221000
41321102111032033000
54113202430021140
6135454343332000
712260141255340
oct1712225161700
9413128271830
10130230313920
1150259687413
12212a5a51000
13c385813965
146435cdcd20
1535c31a9a30
hex1e5254e3c0

130230313920 has 896 divisors, whose sum is σ = 556715980800. Its totient is φ = 28024012800.

The previous prime is 130230313813. The next prime is 130230313987. The reversal of 130230313920 is 29313032031.

130230313920 is a `hidden beast` number, since 1 + 30 + 230 + 313 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 71909815 + ... + 71911625.

It is an arithmetic number, because the mean of its divisors is an integer number (621334800).

Almost surely, 2130230313920 is an apocalyptic number.

130230313920 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 130230313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278357990400).

130230313920 is an abundant number, since it is smaller than the sum of its proper divisors (426485666880).

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

130230313920 is a wasteful number, since it uses less digits than its factorization.

130230313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 130230313920 its reverse (29313032031), we get a palindrome (159543345951).

The spelling of 130230313920 in words is "one hundred thirty billion, two hundred thirty million, three hundred thirteen thousand, nine hundred twenty".