Search a number
-
+
21221428095 = 3257137617797
BaseRepresentation
bin10011110000111001…
…010100101101111111
32000202221212020121100
4103300321110231333
5321430141144340
613425440504143
71350613106520
oct236071245577
960687766540
1021221428095
118aaaa4102a
12414301b053
13200276255a
1410545d2847
158430da830
hex4f0e54b7f

21221428095 has 96 divisors (see below), whose sum is σ = 42467338368. Its totient is φ = 9602740224.

The previous prime is 21221428051. The next prime is 21221428097. The reversal of 21221428095 is 59082412212.

21221428095 is a `hidden beast` number, since 2 + 1 + 221 + 428 + 0 + 9 + 5 = 666.

It is not a de Polignac number, because 21221428095 - 211 = 21221426047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221428097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26626237 + ... + 26627033.

It is an arithmetic number, because the mean of its divisors is an integer number (442368108).

Almost surely, 221221428095 is an apocalyptic number.

21221428095 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

21221428095 is a wasteful number, since it uses less digits than its factorization.

21221428095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21221428095 in words is "twenty-one billion, two hundred twenty-one million, four hundred twenty-eight thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 137 315 411 617 685 797 959 1233 1851 2055 2391 2877 3085 3985 4319 4795 5553 5579 6165 7173 8631 9255 11955 12957 14385 16737 21595 27765 27895 35865 38871 43155 50211 64785 83685 84529 109189 194355 251055 253587 327567 422645 491749 545945 591703 760761 764323 982701 1267935 1475247 1637835 1775109 2292969 2458745 2958515 3442243 3803805 3821615 4425741 4913505 5325327 6878907 7376235 8875545 10326729 11464845 17211215 22128705 26626635 30980187 34394535 51633645 67369613 154900935 202108839 336848065 471587291 606326517 1010544195 1414761873 2357936455 3031632585 4244285619 7073809365 21221428095