Search a number
-
+
323129313220 = 2257217145113367
BaseRepresentation
bin1001011001111000000…
…00100000011111000100
31010220001102210212201111
410230330000200133010
520243232101010340
6404235450334404
732226305562400
oct4547400403704
91126042725644
10323129313220
1111504708969a
125275b42a404
1324617925a6c
14118d4c92100
158613013aea
hex4b3c0207c4

323129313220 has 144 divisors (see below), whose sum is σ = 836430198912. Its totient is φ = 104190643200.

The previous prime is 323129313217. The next prime is 323129313233. The reversal of 323129313220 is 22313921323.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24166977 + ... + 24180343.

It is an arithmetic number, because the mean of its divisors is an integer number (5808543048).

Almost surely, 2323129313220 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 323129313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418215099456).

323129313220 is an abundant number, since it is smaller than the sum of its proper divisors (513300885692).

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

323129313220 is a wasteful number, since it uses less digits than its factorization.

323129313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14858 (or 14849 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 323129313220 in words is "three hundred twenty-three billion, one hundred twenty-nine million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1451 1666 2380 2902 3332 4165 5804 7255 8330 10157 13367 14510 16660 20314 24667 26734 29020 40628 49334 50785 53468 66835 71099 93569 98668 101570 123335 133670 142198 172669 187138 203140 227239 246670 267340 284396 345338 355495 374276 454478 467845 493340 654983 690676 710990 863345 908956 935690 1136195 1208683 1309966 1421980 1590673 1726690 1871380 2272390 2417366 2619932 3181346 3274915 3453380 4544780 4834732 6043415 6362692 6549830 7953365 11134711 12086830 13099660 15906730 19395517 22269422 24173660 31813460 38791034 44538844 55673555 77582068 96977585 111347110 135768619 193955170 222694220 271537238 329723789 387910340 543074476 659447578 678843095 950380333 1318895156 1357686190 1648618945 1900760666 2308066523 2715372380 3297237890 3801521332 4616133046 4751901665 6594475780 9232266092 9503803330 11540332615 16156465661 19007606660 23080665230 32312931322 46161330460 64625862644 80782328305 161564656610 323129313220