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2123442321 = 3711132937659
BaseRepresentation
bin111111010010001…
…0010100010010001
312110222122001020220
41332210102202101
513322100123241
6550412423253
7103422650640
oct17644224221
95428561226
102123442321
1199a69a710
124b3177b29
1327ac08060
1416202d357
15c6648166
hex7e912891

2123442321 has 128 divisors (see below), whose sum is σ = 4044902400. Its totient is φ = 955100160.

The previous prime is 2123442313. The next prime is 2123442331. The reversal of 2123442321 is 1232443212.

It is a happy number.

It is not a de Polignac number, because 2123442321 - 23 = 2123442313 is a prime.

It is a super-2 number, since 2×21234423212 = 9018014581227734082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2123442291 and 2123442300.

It is not an unprimeable number, because it can be changed into a prime (2123442301) 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, 3221890 + ... + 3222548.

It is an arithmetic number, because the mean of its divisors is an integer number (31600800).

Almost surely, 22123442321 is an apocalyptic number.

2123442321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2123442321 is a deficient number, since it is larger than the sum of its proper divisors (1921460079).

2123442321 is a wasteful number, since it uses less digits than its factorization.

2123442321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759.

The product of its digits is 2304, while the sum is 24.

The square root of 2123442321 is about 46080.8237882093. The cubic root of 2123442321 is about 1285.3265827502.

Adding to 2123442321 its reverse (1232443212), we get a palindrome (3355885533).

It can be divided in two parts, 2123 and 442321, that added together give a palindrome (444444).

The spelling of 2123442321 in words is "two billion, one hundred twenty-three million, four hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 11 13 21 29 33 37 39 77 87 91 111 143 203 231 259 273 319 377 407 429 481 609 659 777 957 1001 1073 1131 1221 1443 1977 2233 2639 2849 3003 3219 3367 4147 4613 5291 6699 7249 7511 7917 8547 8567 10101 11803 12441 13839 13949 15873 19111 21747 22533 24383 25701 29029 35409 37037 41847 50743 57333 59969 73149 82621 87087 94237 97643 111111 133777 152229 153439 170681 179907 210221 247863 248443 268213 282711 292929 316979 401331 460317 512043 630663 659659 707107 745329 804639 950937 1074073 1471547 1739101 1877491 1978977 2121321 2218853 2732873 3222219 3486769 4414641 4949749 5217303 5632473 6656559 7778177 8198619 9192391 10460307 14849247 19130111 23334531 24407383 27577173 54447239 57390333 64346737 73222149 101116301 163341717 193040211 303348903 707814107 2123442321