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130441031224320 = 21035109528114753
BaseRepresentation
bin11101101010001010101011…
…010101001000110000000000
3122002212001002202001211002110
4131222022223111020300000
5114044121212443134240
61141231441003415320
736322024232232255
oct3552125325106000
9562761082054073
10130441031224320
1138620804598773
1212768419524540
1357a26c87c628b
14242d54588742c
15101310d276c80
hex76a2ab548c00

130441031224320 has 352 divisors, whose sum is σ = 421143348162240. Its totient is φ = 34456291246080.

The previous prime is 130441031224277. The next prime is 130441031224337. The reversal of 130441031224320 is 23422130144031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8841654064 + ... + 8841668816.

It is an arithmetic number, because the mean of its divisors is an integer number (1196429966370).

Almost surely, 2130441031224320 is an apocalyptic number.

130441031224320 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 130441031224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210571674081120).

130441031224320 is an abundant number, since it is smaller than the sum of its proper divisors (290702316937920).

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

130441031224320 is a wasteful number, since it uses less digits than its factorization.

130441031224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20171 (or 20153 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 130441031224320 its reverse (23422130144031), we get a palindrome (153863161368351).

The spelling of 130441031224320 in words is "one hundred thirty trillion, four hundred forty-one billion, thirty-one million, two hundred twenty-four thousand, three hundred twenty".