Search a number
-
+
1211020222221 = 34838911317911
BaseRepresentation
bin10001100111110110011…
…011100001111100001101
311021202212002012101220000
4101213312123201330031
5124320132134102341
62324200210114513
7153331132021545
oct21476633417415
94252762171800
101211020222221
11427655387167
1217685427ba39
138a277772964
1442883d80325
152177c4218b6
hex119f66e1f0d

1211020222221 has 80 divisors (see below), whose sum is σ = 1867910647680. Its totient is φ = 781634810880.

The previous prime is 1211020222211. The next prime is 1211020222241. The reversal of 1211020222221 is 1222220201121.

It is a happy number.

1211020222221 is a `hidden beast` number, since 121 + 102 + 0 + 222 + 221 = 666.

It is not a de Polignac number, because 1211020222221 - 26 = 1211020222157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1211020222194 and 1211020222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211020222201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67604256 + ... + 67622166.

It is an arithmetic number, because the mean of its divisors is an integer number (23348883096).

Almost surely, 21211020222221 is an apocalyptic number.

It is an amenable number.

1211020222221 is a deficient number, since it is larger than the sum of its proper divisors (656890425459).

1211020222221 is a wasteful number, since it uses less digits than its factorization.

1211020222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18208 (or 18199 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1211020222221 its reverse (1222220201121), we get a palindrome (2433240423342).

The spelling of 1211020222221 in words is "one trillion, two hundred eleven billion, twenty million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 83 89 113 249 267 339 747 801 1017 2241 2403 3051 6723 7209 7387 9153 9379 10057 17911 22161 28137 30171 53733 66483 84411 90513 161199 199449 253233 271539 483597 598347 759699 814617 834731 1450791 1486613 1594079 2023943 2504193 4459839 4782237 6071829 7512579 13379517 14346711 18215487 22537737 40138551 43040133 54646461 67613211 120415653 129120399 132308557 163939383 167987269 180130927 396925671 503961807 540392781 1190777013 1511885421 1621178343 3572331039 4535656263 4863535029 10716993117 13606968789 14590605087 14950866941 44852600823 134557802469 403673407407 1211020222221