Search a number
-
+
211112010110313 = 341337179211501
BaseRepresentation
bin110000000000000101011000…
…010111101101010101101001
31000200111002222222001220020000
4300000011120113231111221
5210132324344042012223
62024555304002253213
762316224261652414
oct6000053027552551
91020432888056200
10211112010110313
11612a3112034a64
121b816b09057209
1390a4a14487000
143a1bc3930ab7b
15196179404e543
hexc001585ed569

211112010110313 has 160 divisors (see below), whose sum is σ = 350832072729600. Its totient is φ = 126463362480000.

The previous prime is 211112010110311. The next prime is 211112010110381. The reversal of 211112010110313 is 313011010211112.

211112010110313 is a `hidden beast` number, since 2 + 111 + 120 + 10 + 110 + 313 = 666.

It is not a de Polignac number, because 211112010110313 - 21 = 211112010110311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211112010110311) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 998055063 + ... + 998266563.

It is an arithmetic number, because the mean of its divisors is an integer number (2192700454560).

Almost surely, 2211112010110313 is an apocalyptic number.

It is an amenable number.

211112010110313 is a deficient number, since it is larger than the sum of its proper divisors (139720062619287).

211112010110313 is an equidigital number, since it uses as much as digits as its factorization.

211112010110313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211702 (or 211667 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 211112010110313 its reverse (313011010211112), we get a palindrome (524123020321425).

The spelling of 211112010110313 in words is "two hundred eleven trillion, one hundred twelve billion, ten million, one hundred ten thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 39 71 79 81 117 169 213 237 351 507 639 711 923 1027 1053 1521 1917 2133 2197 2769 3081 4563 5609 5751 6399 6591 8307 9243 11999 13351 13689 16827 19773 24921 27729 35997 40053 50481 59319 72917 74763 83187 107991 120159 151443 155987 173563 177957 211501 218751 323973 360477 454329 467961 520689 634503 656253 947921 971919 1081431 1403883 1562067 1903509 1968759 2749513 2843763 4211649 4686201 5710527 5906277 8248539 8531289 12322973 12634947 14058603 15016571 16708579 17131581 24745617 25593867 35743669 36968919 45049713 50125737 74236851 76781601 107231007 110906757 135149139 150377211 195215423 217211527 222710553 321693021 332720271 405447417 451131633 464667697 585646269 651634581 965079063 998160813 1186309109 1216342251 1353394899 1394003091 1756938807 1954903743 2537800499 2823749851 2895237189 3558927327 4182009273 5270816421 5864711229 7613401497 8471249553 10676781981 12546027819 15422018417 15812449263 17594133687 22840204491 25413748659 32030345943 32991406487 36708748063 37638083457 46266055251 68520613473 76241245977 96091037829 98974219461 110126244189 138798165753 200486239421 205561840419 228723737931 296922658383 330378732567 416394497259 601458718263 890767975149 991136197701 1249183491777 1804376154789 2606321112473 2672303925447 2973408593103 5413128464367 7818963337419 16239385393101 23456890012257 70370670036771 211112010110313