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21221223231 = 31316723913633
BaseRepresentation
bin10011110000111000…
…100010101100111111
32000202221110211120210
4103300320202230333
5321430113120411
613425432243503
71350611264325
oct236070425477
960687424523
1021221223231
118aaa91111a
124142b40593
1320026c0230
14105457bd15
15843099ca6
hex4f0e22b3f

21221223231 has 32 divisors (see below), whose sum is σ = 30784481280. Its totient is φ = 12925753344.

The previous prime is 21221223227. The next prime is 21221223281. The reversal of 21221223231 is 13232212212.

It is not a de Polignac number, because 21221223231 - 22 = 21221223227 is a prime.

It is a super-2 number, since 2×212212232312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21221223198 and 21221223207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221223211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549791 + ... + 1563423.

It is an arithmetic number, because the mean of its divisors is an integer number (962015040).

Almost surely, 221221223231 is an apocalyptic number.

21221223231 is a deficient number, since it is larger than the sum of its proper divisors (9563258049).

21221223231 is a wasteful number, since it uses less digits than its factorization.

21221223231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055.

The product of its digits is 576, while the sum is 21.

Adding to 21221223231 its reverse (13232212212), we get a palindrome (34453435443).

The spelling of 21221223231 in words is "twenty-one billion, two hundred twenty-one million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 13 39 167 239 501 717 2171 3107 6513 9321 13633 39913 40899 119739 177229 518869 531687 1556607 2276711 3258287 6830133 9774861 29597243 42357731 88791729 127073193 544133929 1632401787 7073741077 21221223231