Search a number
-
+
130221341000320 = 275457445231609
BaseRepresentation
bin11101100110111110000100…
…110001011100001010000000
3122002002001001011011010010111
4131212332010301130022000
5114032021301244002240
61140542505211441104
736300116140155343
oct3546760461341200
9562061034133114
10130221341000320
1138546619149879
1212731927756194
135787a87040bab
142422a646ba45a
15100c5513771ea
hex766f84c5c280

130221341000320 has 64 divisors (see below), whose sum is σ = 311991598391400. Its totient is φ = 51974556991488.

The previous prime is 130221341000299. The next prime is 130221341000321. The reversal of 130221341000320 is 23000143122031.

It can be written as a sum of positive squares in 4 ways, for example, as 128146565793856 + 2074775206464 = 11320184^2 + 1440408^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 130221341000291 and 130221341000300.

It is not an unprimeable number, because it can be changed into a prime (130221341000321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222323325 + ... + 222908284.

Almost surely, 2130221341000320 is an apocalyptic number.

130221341000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130221341000320 is an abundant number, since it is smaller than the sum of its proper divisors (181770257391080).

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

130221341000320 is an equidigital number, since it uses as much as digits as its factorization.

130221341000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445232085 (or 445232073 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 130221341000320 its reverse (23000143122031), we get a palindrome (153221484122351).

The spelling of 130221341000320 in words is "one hundred thirty trillion, two hundred twenty-one billion, three hundred forty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 457 640 914 1828 2285 3656 4570 7312 9140 14624 18280 29248 36560 58496 73120 146240 292480 445231609 890463218 1780926436 2226158045 3561852872 4452316090 7123705744 8904632180 14247411488 17809264360 28494822976 35618528720 56989645952 71237057440 142474114880 203470845313 284948229760 406941690626 813883381252 1017354226565 1627766762504 2034708453130 3255533525008 4069416906260 6511067050016 8138833812520 13022134100032 16277667625040 26044268200064 32555335250080 65110670500160 130221341000320