Search a number
-
+
220003434214011 = 32723476195218823
BaseRepresentation
bin110010000001011110001010…
…100010111011001001111011
31001211222010022121011201012200
4302001132022202323021323
5212314014013124322021
62055524103222441243
764224503122563240
oct6201361242731173
91054863277151180
10220003434214011
1164110a29155188
1220812180b93223
13959b308bb77c6
143c48319dd75c7
151a67bda68a126
hexc8178a8bb27b

220003434214011 has 96 divisors (see below), whose sum is σ = 387659256791040. Its totient is φ = 117501652078272.

The previous prime is 220003434213989. The next prime is 220003434214033. The reversal of 220003434214011 is 110412434300022.

220003434214011 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 3 + 434 + 214 + 0 + 11 = 666.

220003434214011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220003434213989) and next prime (220003434214033).

It is not a de Polignac number, because 220003434214011 - 215 = 220003434181243 is a prime.

It is a super-2 number, since 2×2200034342140112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220003434214211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39546346 + ... + 44765168.

It is an arithmetic number, because the mean of its divisors is an integer number (4038117258240).

Almost surely, 2220003434214011 is an apocalyptic number.

220003434214011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220003434214011 is a deficient number, since it is larger than the sum of its proper divisors (167655822577029).

220003434214011 is a wasteful number, since it uses less digits than its factorization.

220003434214011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219525 (or 5219522 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 220003434214011 its reverse (110412434300022), we get a palindrome (330415868514033).

The spelling of 220003434214011 in words is "two hundred twenty trillion, three billion, four hundred thirty-four million, two hundred fourteen thousand, eleven".

Divisors: 1 3 7 9 21 23 47 63 69 141 161 207 329 423 483 619 987 1081 1449 1857 2961 3243 4333 5571 7567 9729 12999 14237 22701 29093 38997 42711 68103 87279 99659 128133 203651 261837 298977 610953 669139 896931 1832859 2007417 4683973 5218823 6022251 14051919 15656469 36531761 42155757 46969407 109595283 120032929 245284681 328785849 360098787 735854043 840230503 1080296361 1716992767 2207562129 2520691509 3230451437 5150978301 5641547663 7562074527 9691354311 15452934903 16924642989 22613160059 29074062933 39490833641 50773928967 67839480177 74300383051 118472500923 151831217539 203518440531 222901149153 355417502769 455493652617 520102681357 668703447459 1062818522773 1366480957851 1560308044071 3188455568319 3492118003397 4680924132213 9565366704957 10476354010191 24444826023779 31429062030573 73334478071337 220003434214011