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10222133133 = 31719236173103
BaseRepresentation
bin10011000010100100…
…10101111110001101
3222101101202011111110
421201102111332031
5131413331230013
64410155442233
7511212461262
oct114122257615
928341664443
1010222133133
114376144a13
121b93456379
13c6ba23ab4
146cd867269
153ec63a2c3
hex261495f8d

10222133133 has 128 divisors (see below), whose sum is σ = 16490373120. Its totient is φ = 5583790080.

The previous prime is 10222133123. The next prime is 10222133137. The reversal of 10222133133 is 33133122201.

10222133133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10222133133 - 25 = 10222133101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222133137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99243960 + ... + 99244062.

It is an arithmetic number, because the mean of its divisors is an integer number (128831040).

Almost surely, 210222133133 is an apocalyptic number.

It is an amenable number.

10222133133 is a deficient number, since it is larger than the sum of its proper divisors (6268239987).

10222133133 is a wasteful number, since it uses less digits than its factorization.

10222133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10222133133 its reverse (33133122201), we get a palindrome (43355255334).

The spelling of 10222133133 in words is "ten billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 17 19 23 51 57 61 69 73 103 183 219 309 323 391 437 969 1037 1159 1173 1241 1311 1387 1403 1679 1751 1957 2369 3111 3477 3723 4161 4209 4453 5037 5253 5871 6283 7107 7429 7519 13359 18849 19703 22287 22557 23579 23851 26657 28543 31901 33269 40273 45011 59109 70737 71553 75701 79971 84607 85629 95703 99807 102419 106811 119377 120819 127823 135033 142861 144509 172937 227103 253821 307257 320433 358131 383469 428583 433527 453169 458659 518811 542317 765187 1359507 1375977 1438319 1626951 1741123 1945961 2029409 2295561 2428637 2456653 2745671 2939929 3285803 4314957 5223369 5837883 6088227 7285911 7369959 7797203 8237013 8714521 8819787 9857409 10549157 23391609 26143563 31647471 33081337 46676407 55858651 99244011 140029221 148146857 167575953 179335669 200433983 444440571 538007007 601301949 3407377711 10222133133