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2114433321 = 3711134771211
BaseRepresentation
bin111111000000111…
…1011000100101001
312110100200100020020
41332001323010221
513312243331241
6545451351053
7103253246430
oct17601730451
95410610206
102114433321
119955a7060
124b0152489
132790a25a0
14160b66117
15c5968b66
hex7e07b129

2114433321 has 128 divisors (see below), whose sum is σ = 3938844672. Its totient is φ = 973728000.

The previous prime is 2114433317. The next prime is 2114433323. The reversal of 2114433321 is 1233344112.

It is a happy number.

2114433321 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2114433321 - 22 = 2114433317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2114433291 and 2114433300.

It is not an unprimeable number, because it can be changed into a prime (2114433323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10020906 + ... + 10021116.

It is an arithmetic number, because the mean of its divisors is an integer number (30772224).

Almost surely, 22114433321 is an apocalyptic number.

2114433321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2114433321 is a deficient number, since it is larger than the sum of its proper divisors (1824411351).

2114433321 is a wasteful number, since it uses less digits than its factorization.

2114433321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363.

The product of its digits is 1728, while the sum is 24.

The square root of 2114433321 is about 45982.9677271922. The cubic root of 2114433321 is about 1283.5062802995.

Adding to 2114433321 its reverse (1233344112), we get a palindrome (3347777433).

The spelling of 2114433321 in words is "two billion, one hundred fourteen million, four hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 47 71 77 91 141 143 211 213 231 273 329 429 497 517 611 633 781 923 987 1001 1477 1491 1551 1833 2321 2343 2743 2769 3003 3337 3619 4277 4431 5467 6461 6721 6963 8229 9917 10011 10153 10857 12831 14981 16247 16401 19201 19383 20163 23359 29751 30173 30459 36707 43381 44943 47047 48741 57603 69419 70077 71071 90519 104867 109087 110121 128921 130143 141141 164791 194753 208257 211211 213213 256949 303667 314601 327261 386763 477191 494373 584259 633633 704107 763609 770847 902447 911001 1153537 1363271 1418131 1431573 2112321 2142283 2290827 2707341 3340337 3460611 4089813 4254393 4928749 6426849 7745177 9153391 9926917 10021011 14786247 14995981 23235531 27460173 29780751 44987943 54216239 64073737 100687301 162648717 192221211 302061903 704811107 2114433321