Search a number
-
+
331122110301320 = 235133730211569663
BaseRepresentation
bin100101101001001110101111…
…1110000110000010010001000
31121102101222001012010210111212
41023102131133300300102020
5321400101040214120240
63132123221505312252
7126513532400310602
oct11322353760602210
91542358035123455
10331122110301320
1196562109a25168
1231179824935688
131129b8b1280860
145baa577940172
1528433a5254165
hex12d275fc30488

331122110301320 has 128 divisors (see below), whose sum is σ = 824047778211840. Its totient is φ = 118951988106240.

The previous prime is 331122110301271. The next prime is 331122110301361. The reversal of 331122110301320 is 23103011221133.

It is a super-2 number, since 2×3311221103013202 (a number of 30 digits) contains 22 as substring.

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, 580974809 + ... + 581544471.

It is an arithmetic number, because the mean of its divisors is an integer number (6437873267280).

Almost surely, 2331122110301320 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 331122110301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412023889105920).

331122110301320 is an abundant number, since it is smaller than the sum of its proper divisors (492925667910520).

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

331122110301320 is a wasteful number, since it uses less digits than its factorization.

331122110301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599935 (or 599931 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 331122110301320 its reverse (23103011221133), we get a palindrome (354225121522453).

The spelling of 331122110301320 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, one hundred ten million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 19240 30211 60422 120844 151055 241688 302110 392743 569663 604220 785486 1117807 1139326 1208440 1570972 1963715 2235614 2278652 2848315 3141944 3927430 4471228 4557304 5589035 5696630 7405619 7854860 8942456 11178070 11393260 14531491 14811238 15709720 21077531 22356140 22786520 29062982 29622476 37028095 42155062 44712280 58125964 59244952 72657455 74056190 84310124 105387655 116251928 145314910 148112380 168620248 210775310 274007903 290629820 296224760 421550620 548015806 581259640 843101240 1096031612 1370039515 2192063224 2740079030 5480158060 10960316120 17210088893 34420177786 68840355572 86050444465 137680711144 172100888930 223731155609 344201777860 447462311218 636773289041 688403555720 894924622436 1118655778045 1273546578082 1789849244872 2237311556090 2547093156164 3183866445205 4474623112180 5094186312328 6367732890410 8278052757533 8949246224360 12735465780820 16556105515066 25470931561640 33112211030132 41390263787665 66224422060264 82780527575330 165561055150660 331122110301320