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21221211231 = 321121731103359
BaseRepresentation
bin10011110000111000…
…011111110001011111
32000202221110020010100
4103300320133301133
5321430112224411
613425432112143
71350611214333
oct236070376137
960687406110
1021221211231
118aaa903100
124142b35653
1320026b792c
1410545777c3
15843096456
hex4f0e1fc5f

21221211231 has 144 divisors (see below), whose sum is σ = 37286645760. Its totient is φ = 11568268800.

The previous prime is 21221211227. The next prime is 21221211247. The reversal of 21221211231 is 13211212212.

21221211231 is a `hidden beast` number, since 2 + 1 + 221 + 211 + 231 = 666.

It is not a de Polignac number, because 21221211231 - 22 = 21221211227 is a prime.

It is a super-2 number, since 2×212212112312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221211331) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59111830 + ... + 59112188.

It is an arithmetic number, because the mean of its divisors is an integer number (258935040).

Almost surely, 221221211231 is an apocalyptic number.

21221211231 is a deficient number, since it is larger than the sum of its proper divisors (16065434529).

21221211231 is a wasteful number, since it uses less digits than its factorization.

21221211231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 21221211231 its reverse (13211212212), we get a palindrome (34432423443).

The spelling of 21221211231 in words is "twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 9 11 17 31 33 51 93 99 103 121 153 187 279 309 341 359 363 527 561 927 1023 1077 1089 1133 1581 1683 1751 2057 3069 3193 3231 3399 3751 3949 4743 5253 5797 6103 6171 9579 10197 11129 11253 11847 12463 15759 17391 18309 18513 19261 28737 33387 33759 35123 35541 36977 37389 43439 52173 54281 54927 57783 63767 67133 100161 105369 110931 112167 122419 130317 162843 173349 189193 191301 201399 211871 316107 332793 367257 386353 390951 406747 488529 567579 573903 597091 604197 628609 635613 738463 1101771 1146287 1159059 1220241 1346609 1702737 1791273 1885827 1906839 2081123 2215389 3438861 3477177 3660723 4039827 4474217 5373819 5657481 6243369 6568001 6646167 6914699 10316583 12119481 12609157 13422651 18730107 19486879 19704003 20744097 22892353 37827471 40267953 58460637 59112009 62232291 68677059 76061689 113482413 138700727 175381911 206031177 214355669 228185067 416102181 643067007 684555201 1248306543 1929201021 2357912359 7073737077 21221211231