Search a number
-
+
211313221322320 = 24513239019797943
BaseRepresentation
bin110000000011000000110001…
…011111100100011001010000
31000201012100100201110112020101
4300003000301133210121100
5210144123434124303240
62025231542001022144
762336606421022645
oct6003006137443120
91021170321415211
10211313221322320
116137048556a717
121b849b02324954
1390ba99c6c4a80
143a278861d9dcc
151966b1d9c639a
hexc030317e4650

211313221322320 has 160 divisors (see below), whose sum is σ = 552111719588352. Its totient is φ = 74629434587136.

The previous prime is 211313221322309. The next prime is 211313221322327. The reversal of 211313221322320 is 23223122313112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313221322327) 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, 2157463269 + ... + 2157561211.

Almost surely, 2211313221322320 is an apocalyptic number.

211313221322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211313221322320 is an abundant number, since it is smaller than the sum of its proper divisors (340798498266032).

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

211313221322320 is a wasteful number, since it uses less digits than its factorization.

211313221322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188189 (or 188183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 211313221322320 its reverse (23223122313112), we get a palindrome (234536343635432).

The spelling of 211313221322320 in words is "two hundred eleven trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 90197 97943 180394 195886 360788 391772 450985 489715 721576 783544 901970 979430 1172561 1273259 1443152 1567088 1803940 1958860 2074531 2252689 2345122 2546518 3607880 3917720 4149062 4505378 4690244 5093036 5862805 6366295 7215760 7835440 8298124 9010756 9380488 10186072 10372655 11263445 11725610 12732590 16596248 18021512 18760976 20372144 20745310 22526890 23451220 25465180 26968903 29284957 33192496 36043024 41490620 45053780 46902440 50930360 53937806 58569914 82981240 90107560 93804880 101860720 107875612 117139828 134844515 146424785 165962480 180215120 215751224 234279656 269689030 292849570 431502448 468559312 539378060 585699140 1078756120 1171398280 2157512240 2342796560 8834164771 17668329542 35336659084 44170823855 70673318168 88341647710 114844142023 141346636336 176683295420 203185789733 229688284046 353366590840 406371579466 459376568092 574220710115 706733181680 812743158932 918753136184 1015928948665 1148441420230 1625486317864 1837506272368 2031857897330 2296882840460 2641415266529 3250972635728 4063715794660 4593765680920 5282830533058 8127431589320 9187531361840 10565661066116 13207076332645 16254863178640 21131322132232 26414152665290 42262644264464 52828305330580 105656610661160 211313221322320