Search a number
-
+
100222222121021 = 7111310122318672381
BaseRepresentation
bin10110110010011011001101…
…111100101011100000111101
3111010212011001222102221000102
4112302123031330223200331
5101114020102330333041
6553053241522010445
730052550044044140
oct2662331574534075
9433764058387012
10100222222121021
1129a30007665850
12b2a78a34a6a25
1343bcbb8318050
141aa6ad2374057
15b8c023aeb09b
hex5b26cdf2b83d

100222222121021 has 128 divisors (see below), whose sum is σ = 136636298330112. Its totient is φ = 70986222720000.

The previous prime is 100222222121003. The next prime is 100222222121027. The reversal of 100222222121021 is 120121222222001.

It is not a de Polignac number, because 100222222121021 - 26 = 100222222120957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222222120984 and 100222222121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222222121027) 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, 42092490251 + ... + 42092492631.

It is an arithmetic number, because the mean of its divisors is an integer number (1067471080704).

Almost surely, 2100222222121021 is an apocalyptic number.

100222222121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222222121021 is a deficient number, since it is larger than the sum of its proper divisors (36414076209091).

100222222121021 is a wasteful number, since it uses less digits than its factorization.

100222222121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100222222121021 its reverse (120121222222001), we get a palindrome (220343444343022).

The spelling of 100222222121021 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 7 11 13 77 91 101 143 223 707 1001 1111 1313 1561 1867 2381 2453 2899 7777 9191 13069 14443 16667 17171 20293 20537 22523 24271 26191 30953 31889 101101 143759 157661 169897 183337 188567 216671 223223 240481 247753 266981 292799 340483 416341 530963 1319969 1683367 1734271 1868867 2049593 2074237 2383381 2451371 2645291 2914387 3126253 3220789 3716741 4445327 4579751 5412433 5840593 6902519 14519659 17159597 18517037 21883771 22545523 26965081 31117289 32058257 34388783 37887031 40884151 42050441 48317633 48898597 53627263 57789251 59536763 75927709 188755567 240721481 294353087 342290179 375390841 404524757 416757341 448978027 462554851 531493963 546655733 589899893 635681761 697154419 991307921 3142846189 3237883957 3826590131 4129299251 4449772327 4880080933 4938758297 5836714351 6013213063 6939155447 7668698609 10904387131 12887002973 34571308079 40857000457 42092491441 53680890263 64203857861 76330709917 90209020811 100122100021 141757032703 449427005027 700854700147 992299228921 1101343100231 1301587300273 7709401701617 9111111101911 14317460303003 100222222121021