Search a number
-
+
221111120221110 = 23457199195963167
BaseRepresentation
bin110010010001100101110001…
…110001101101001110110110
31001222220000110010211002120000
4302101211301301231032312
5212440141033234033420
62102133014002052130
764400515453361610
oct6221456161551666
91058800403732500
10221111120221110
11644a8777012059
122097099694a046
13964b8c6148c72
143c85b9a191db0
151a8691acb1690
hexc91971c6d3b6

221111120221110 has 160 divisors (see below), whose sum is σ = 682892447846400. Its totient is φ = 50285716100928.

The previous prime is 221111120221093. The next prime is 221111120221129. The reversal of 221111120221110 is 11122021111122.

It is a happy number.

221111120221110 is a `hidden beast` number, since 2 + 211 + 1 + 1 + 120 + 221 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96853254 + ... + 99109913.

It is an arithmetic number, because the mean of its divisors is an integer number (4268077799040).

Almost surely, 2221111120221110 is an apocalyptic number.

221111120221110 is an abundant number, since it is smaller than the sum of its proper divisors (461781327625290).

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

221111120221110 is a wasteful number, since it uses less digits than its factorization.

221111120221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195963392 (or 195963383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221111120221110 its reverse (11122021111122), we get a palindrome (232233141332232).

The spelling of 221111120221110 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred twenty million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 199 210 270 315 378 398 405 567 597 630 810 945 995 1134 1194 1393 1791 1890 1990 2786 2835 2985 3582 4179 5373 5670 5970 6965 8358 8955 10746 12537 13930 16119 17910 20895 25074 26865 32238 37611 41790 53730 62685 75222 80595 112833 125370 161190 188055 225666 376110 564165 1128330 195963167 391926334 587889501 979815835 1175779002 1371742169 1763668503 1959631670 2743484338 2939447505 3527337006 4115226507 5291005509 5878895010 6858710845 8230453014 8818342515 10582011018 12345679521 13717421690 15873016527 17636685030 20576132535 24691359042 26455027545 31746033054 37037038563 38996670233 41152265070 52910055090 61728397605 74074077126 77993340466 79365082635 111111115689 116990010699 123456795210 158730165270 185185192815 194983351165 222222231378 233980021398 272976691631 350970032097 370370385630 389966702330 545953383262 555555578445 584950053495 701940064194 818930074893 1052910096291 1111111156890 1169900106990 1364883458155 1637860149786 1754850160485 2105820192582 2456790224679 2729766916310 3158730288873 3509700320970 4094650374465 4913580449358 5264550481455 6317460577746 7370370674037 8189300748930 10529100962910 12283951123395 14740741348074 15793651444365 22111112022111 24567902246790 31587302888730 36851853370185 44222224044222 73703706740370 110555560110555 221111120221110