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320031101300 = 2252177116715877
BaseRepresentation
bin1001010100000110101…
…01110001000101110100
31010121001111222101221212
410222003111301011310
520220410430220200
6403004213100552
732056445322521
oct4520325610564
91117044871855
10320031101300
111137a7239179
1252035927758
1324242aa5881
14116bd602148
1584d1020035
hex4a83571174

320031101300 has 144 divisors (see below), whose sum is σ = 750187484928. Its totient is φ = 118066636800.

The previous prime is 320031101279. The next prime is 320031101323. The reversal of 320031101300 is 3101130023.

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 47 ways as a sum of consecutive naturals, for example, 20148962 + ... + 20164838.

It is an arithmetic number, because the mean of its divisors is an integer number (5209635312).

Almost surely, 2320031101300 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 320031101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375093742464).

320031101300 is an abundant number, since it is smaller than the sum of its proper divisors (430156383628).

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

320031101300 is a wasteful number, since it uses less digits than its factorization.

320031101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16146 (or 16139 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 320031101300 its reverse (3101130023), we get a palindrome (323132231323).

The spelling of 320031101300 in words is "three hundred twenty billion, thirty-one million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 71 85 100 142 167 170 284 334 340 355 425 668 710 835 850 1207 1420 1670 1700 1775 2414 2839 3340 3550 4175 4828 5678 6035 7100 8350 11356 11857 12070 14195 15877 16700 23714 24140 28390 30175 31754 47428 56780 59285 60350 63508 70975 79385 118570 120700 141950 158770 201569 237140 269909 283900 296425 317540 396925 403138 539818 592850 793850 806276 1007845 1079636 1127267 1185700 1349545 1587700 2015690 2254534 2651459 2699090 4031380 4509068 5039225 5302918 5398180 5636335 6747725 10078450 10605836 11272670 13257295 13495450 19163539 20156900 22545340 26514590 26990900 28181675 38327078 45074803 53029180 56363350 66286475 76654156 90149606 95817695 112726700 132572950 180299212 188253589 191635390 225374015 265145900 376507178 383270780 450748030 479088475 753014356 901496060 941267945 958176950 1126870075 1882535890 1916353900 2253740150 3200311013 3765071780 4507480300 4706339725 6400622026 9412679450 12801244052 16001555065 18825358900 32003110130 64006220260 80007775325 160015550650 320031101300