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320130311130 = 233573110934999
BaseRepresentation
bin1001010100010010100…
…00001110001111011010
31010121022102122210021000
410222021100032033122
520221111324424010
6403022115325430
732062061514150
oct4521120161732
91117272583230
10320130311130
1111384823aa73
1252062bb0876
132425a500806
14116cc8693d0
1584d9aba7c0
hex4a8940e3da

320130311130 has 256 divisors, whose sum is σ = 1008230400000. Its totient is φ = 70733295360.

The previous prime is 320130311113. The next prime is 320130311147. The reversal of 320130311130 is 31113031023.

It is a happy number.

320130311130 is a `hidden beast` number, since 320 + 1 + 3 + 0 + 311 + 1 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (320130311113) and next prime (320130311147).

It is a super-2 number, since 2×3201303111302 (a number of 24 digits) contains 22 as substring.

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

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, 64036371 + ... + 64041369.

It is an arithmetic number, because the mean of its divisors is an integer number (3938400000).

Almost surely, 2320130311130 is an apocalyptic number.

320130311130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320130311130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504115200000).

320130311130 is an abundant number, since it is smaller than the sum of its proper divisors (688100088870).

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

320130311130 is a wasteful number, since it uses less digits than its factorization.

320130311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 320130311130 its reverse (31113031023), we get a palindrome (351243342153).

The spelling of 320130311130 in words is "three hundred twenty billion, one hundred thirty million, three hundred eleven thousand, one hundred thirty".