Search a number
-
+
220113333121320 = 233351997102057407
BaseRepresentation
bin110010000011000100100001…
…000001111111000100101000
31001212100121222122100122111000
4302003010201001333010220
5212322314101234340240
62100050400321435000
764235443406100642
oct6203044101770450
91055317878318430
10220113333121320
11641535a4227911
122082b531a9ba60
1395a87a147a742
143c4d7839c3892
151a6a9bd964430
hexc8312107f128

220113333121320 has 128 divisors (see below), whose sum is σ = 734078524262400. Its totient is φ = 58667495724288.

The previous prime is 220113333121309. The next prime is 220113333121321. The reversal of 220113333121320 is 23121333311022.

220113333121320 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 1 + 3 + 3 + 331 + 2 + 1 + 320 = 666.

It is a super-3 number, since 3×2201133331213203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220113333121321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48871944 + ... + 53185463.

It is an arithmetic number, because the mean of its divisors is an integer number (5734988470800).

Almost surely, 2220113333121320 is an apocalyptic number.

220113333121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220113333121320 is an abundant number, since it is smaller than the sum of its proper divisors (513965191141080).

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

220113333121320 is a wasteful number, since it uses less digits than its factorization.

220113333121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102059424 (or 102059414 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 220113333121320 its reverse (23121333311022), we get a palindrome (243234666432342).

The spelling of 220113333121320 in words is "two hundred twenty trillion, one hundred thirteen billion, three hundred thirty-three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1997 3994 5991 7988 9985 11982 15976 17973 19970 23964 29955 35946 39940 47928 53919 59910 71892 79880 89865 107838 119820 143784 179730 215676 239640 269595 359460 431352 539190 718920 1078380 2156760 102057407 204114814 306172221 408229628 510287035 612344442 816459256 918516663 1020574070 1224688884 1530861105 1837033326 2041148140 2449377768 2755549989 3061722210 3674066652 4082296280 4592583315 5511099978 6123444420 7348133304 9185166630 11022199956 12246888840 13777749945 18370333260 22044399912 27555499890 36740666520 55110999780 110221999560 203808641779 407617283558 611425925337 815234567116 1019043208895 1222851850674 1630469134232 1834277776011 2038086417790 2445703701348 3057129626685 3668555552022 4076172835580 4891407402696 5502833328033 6114259253370 7337111104044 8152345671160 9171388880055 11005666656066 12228518506740 14674222208088 18342777760110 22011333312132 24457037013480 27514166640165 36685555520220 44022666624264 55028333280330 73371111040440 110056666560660 220113333121320