Search a number
-
+
211001000102211 = 31143389439870739
BaseRepresentation
bin101111111110011101111111…
…101010001000100101000011
31000200002111110111011012012110
4233332131333222020211003
5210124020022011232321
62024432304332430403
762305214324316054
oct5776357752104503
91020074414135173
10211001000102211
1161260026855910
121b7b94a8018403
139097402957797
143a16707d3272b
15195d94844a176
hexbfe77fa88943

211001000102211 has 64 divisors (see below), whose sum is σ = 315572894208000. Its totient is φ = 124300426884480.

The previous prime is 211001000102203. The next prime is 211001000102219. The reversal of 211001000102211 is 112201000100112.

It is an interprime number because it is at equal distance from previous prime (211001000102203) and next prime (211001000102219).

It is not a de Polignac number, because 211001000102211 - 23 = 211001000102203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211001000102219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241888680 + ... + 242759418.

It is an arithmetic number, because the mean of its divisors is an integer number (4930826472000).

Almost surely, 2211001000102211 is an apocalyptic number.

211001000102211 is a deficient number, since it is larger than the sum of its proper divisors (104571894105789).

211001000102211 is a wasteful number, since it uses less digits than its factorization.

211001000102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871624.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211001000102211 its reverse (112201000100112), we get a palindrome (323202000202323).

The spelling of 211001000102211 in words is "two hundred eleven trillion, one billion, one hundred two thousand, two hundred eleven".

Divisors: 1 3 11 33 43 129 389 439 473 1167 1317 1419 4279 4829 12837 14487 16727 18877 50181 56631 170771 183997 207647 512313 551991 622941 870739 1878481 2612217 5635443 7343153 9578129 22029459 28734387 37441777 80774683 112325331 242324049 338717471 382254421 411859547 1016152413 1146763263 1235578641 3725892181 4204798631 11177676543 12614395893 14564851253 16436940103 43694553759 49310820309 148696969769 160213363783 180806341133 446090909307 480640091349 542419023399 1635666667459 4907000002377 6393969700067 19181909100201 70333666700737 211001000102211