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135221211021 = 31324779109659
BaseRepresentation
bin111110111101111001…
…1111110111110001101
3110221000210120020122210
41331323303332332031
54203413112223041
6142041511501033
712524623220631
oct1757363767615
9427023506583
10135221211021
115238a937266
1222259387779
13c99c806100
14678aab0dc1
1537b6414016
hex1f7bcfef8d

135221211021 has 96 divisors (see below), whose sum is σ = 204069888000. Its totient is φ = 79553021184.

The previous prime is 135221210987. The next prime is 135221211023. The reversal of 135221211021 is 120112122531.

It is not a de Polignac number, because 135221211021 - 214 = 135221194637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135221211023) 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, 205191190 + ... + 205191848.

It is an arithmetic number, because the mean of its divisors is an integer number (2125728000).

Almost surely, 2135221211021 is an apocalyptic number.

It is an amenable number.

135221211021 is a deficient number, since it is larger than the sum of its proper divisors (68848676979).

135221211021 is a wasteful number, since it uses less digits than its factorization.

135221211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 135221211021 its reverse (120112122531), we get a palindrome (255333333552).

The spelling of 135221211021 in words is "one hundred thirty-five billion, two hundred twenty-one million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 13 39 47 79 109 141 169 237 327 507 611 659 1027 1417 1833 1977 3081 3713 4251 5123 7943 8567 8611 11139 13351 15369 18421 23829 25701 25833 30973 40053 48269 52061 55263 66599 71831 92919 111371 111943 144807 156183 199797 215493 334113 335829 402649 404717 627497 676793 865787 933803 1207947 1214151 1455259 1882491 2030379 2446867 2597361 2801409 3376057 4365777 5234437 5261321 5674649 7340601 8798309 10128171 12139439 15703311 15783963 17023947 26394927 31809271 36418317 43888741 68397173 73770437 95427813 131666223 205191519 221311311 266708503 413520523 570553633 800125509 959015681 1240561569 1711660899 2877047043 3467210539 10401631617 45073737007 135221211021