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1221110298954 = 2327213317335957
BaseRepresentation
bin10001110001001111110…
…110000111100101001010
311022201220021110102001200
4101301033312013211022
5130001313214031304
62332545331325030
7154136152166100
oct21611766074512
94281807412050
101221110298954
11430962a25157
121787ab450776
138b1c500ac70
144316006dc70
1521b6d173e39
hex11c4fd8794a

1221110298954 has 144 divisors (see below), whose sum is σ = 3324907790568. Its totient is φ = 321034178304.

The previous prime is 1221110298953. The next prime is 1221110298959. The reversal of 1221110298954 is 4598920111221.

It can be written as a sum of positive squares in 4 ways, for example, as 445592295729 + 775518003225 = 667527^2 + 880635^2 .

It is a super-2 number, since 2×12211102989542 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221110298953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3466744 + ... + 3802700.

Almost surely, 21221110298954 is an apocalyptic number.

1221110298954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221110298954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662453895284).

1221110298954 is an abundant number, since it is smaller than the sum of its proper divisors (2103797491614).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221110298954 is a wasteful number, since it uses less digits than its factorization.

1221110298954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336309 (or 336299 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 1221110298954 in words is "one trillion, two hundred twenty-one billion, one hundred ten million, two hundred ninety-eight thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 317 441 546 634 637 819 882 951 1274 1638 1902 1911 2219 2853 3822 4121 4438 5706 5733 6657 8242 11466 12363 13314 15533 19971 24726 28847 31066 37089 39942 46599 57694 74178 86541 93198 139797 173082 201929 259623 279594 335957 403858 519246 605787 671914 1007871 1211574 1817361 2015742 2351699 3023613 3634722 4367441 4703398 6047226 7055097 8734882 13102323 14110194 16461893 21165291 26204646 30572087 32923786 39306969 42330582 49385679 61144174 78613938 91716261 98771358 106498369 148157037 183432522 212996738 214004609 275148783 296314074 319495107 428009218 550297566 638990214 642013827 745488583 958485321 1284027654 1384478797 1490977166 1916970642 1926041481 2236465749 2768957594 3852082962 4153436391 4472931498 5218420081 6709397247 8306872782 9691351579 10436840162 12460309173 13418794494 15655260243 19382703158 24920618346 29074054737 31310520486 46965780729 58148109474 67839461053 87222164211 93931561458 135678922106 174444328422 203518383159 407036766318 610555149477 1221110298954