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2112043104369 = 321124729372
BaseRepresentation
bin11110101110111111100…
…101000011100001110001
321110220112220201021122100
4132232333211003201301
5234100431013314434
64254131553331013
7305406253115022
oct36567745034161
97426486637570
102112043104369
117447922a9500
122a13b2b66a69
1312421b11b173
147431b14cc49
1539e1464e699
hex1ebbf943871

2112043104369 has 81 divisors (see below), whose sum is σ = 3429805368171. Its totient is φ = 1251454501440.

The previous prime is 2112043104361. The next prime is 2112043104383. The reversal of 2112043104369 is 9634013402112.

The square root of 2112043104369 is 1453287.

It is a perfect power (a square), and thus also a powerful number.

2112043104369 is a `hidden beast` number, since 2 + 1 + 1 + 204 + 3 + 10 + 436 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111198906225 + 2000844198144 = 333465^2 + 1414512^2 .

It is not a de Polignac number, because 2112043104369 - 23 = 2112043104361 is a prime.

It is a super-2 number, since 2×21120431043692 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112043104361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2254047669 + ... + 2254048605.

Almost surely, 22112043104369 is an apocalyptic number.

2112043104369 is the 1453287-th square number.

2112043104369 is the 726644-th centered octagonal number.

It is an amenable number.

2112043104369 is a deficient number, since it is larger than the sum of its proper divisors (1317762263802).

2112043104369 is an frugal number, since it uses more digits than its factorization.

2112043104369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 2112043104369 by its sum of digits (36), we get a square (76033551757284 = 87197222).

It can be divided in two parts, 21120 and 43104369, that added together give a square (43125489 = 65672).

The spelling of 2112043104369 in words is "two trillion, one hundred twelve billion, forty-three million, one hundred four thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 33 47 99 121 141 363 423 517 937 1089 1551 2209 2811 4653 5687 6627 8433 10307 17061 19881 24299 30921 44039 51183 72897 92763 113377 132117 218691 267289 340131 396351 484429 801867 877969 1020393 1453287 2069833 2405601 2633907 4359861 5328719 6209499 7901721 9657659 15986157 18628497 22768163 28972977 41264543 47958471 68304489 86918931 106234249 123793629 204913467 250449793 318702747 371380887 453909973 751349379 956108241 1361729919 1939433521 2254048137 4085189757 4993009703 5818300563 14979029109 17454901689 21333768731 44937087327 64001306193 192003918579 234671456041 704014368123 2112043104369