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3320001031000 = 235322339737501
BaseRepresentation
bin110000010011111111011…
…110110110101101011000
3102202101111120122221201011
4300103333132312231120
5413343330230443000
611021104252103304
7461601502066243
oct60237736665530
912671446587634
103320001031000
111070006036665
12457531764b34
131b10c83077a4
14b699050c25a
155b562cc42ba
hex304ff7b6b58

3320001031000 has 128 divisors (see below), whose sum is σ = 7823505231360. Its totient is φ = 1318680000000.

The previous prime is 3320001030989. The next prime is 3320001031021. The reversal of 3320001031000 is 1301000233.

It is a super-2 number, since 2×33200010310002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88512250 + ... + 88549750.

It is an arithmetic number, because the mean of its divisors is an integer number (61121134620).

Almost surely, 23320001031000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320001031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911752615680).

3320001031000 is an abundant number, since it is smaller than the sum of its proper divisors (4503504200360).

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

3320001031000 is a wasteful number, since it uses less digits than its factorization.

3320001031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38142 (or 38128 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 3320001031000 its reverse (1301000233), we get a palindrome (3321302031233).

The spelling of 3320001031000 in words is "three trillion, three hundred twenty billion, one million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 223 250 397 446 500 794 892 1000 1115 1588 1784 1985 2230 3176 3970 4460 5575 7940 8920 9925 11150 15880 19850 22300 27875 37501 39700 44600 49625 55750 75002 79400 88531 99250 111500 150004 177062 187505 198500 223000 300008 354124 375010 397000 442655 708248 750020 885310 937525 1500040 1770620 1875050 2213275 3541240 3750100 4426550 4687625 7500200 8362723 8853100 9375250 11066375 14887897 16725446 17706200 18750500 22132750 29775794 33450892 37501000 41813615 44265500 59551588 66901784 74439485 83627230 88531000 119103176 148878970 167254460 209068075 297757940 334508920 372197425 418136150 595515880 744394850 836272300 1045340375 1488789700 1672544600 1860987125 2090680750 2977579400 3320001031 3721974250 4181361500 6640002062 7443948500 8362723000 13280004124 14887897000 16600005155 26560008248 33200010310 66400020620 83000025775 132800041240 166000051550 332000103100 415000128875 664000206200 830000257750 1660000515500 3320001031000