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22012210221102 = 234192775748523
BaseRepresentation
bin1010000000101000111011…
…11110001001000000101110
32212221100100202222212010000
411000110131332021000232
510341122001304033402
6114452134134325130
74431221042501133
oct500243576110056
985840322885100
1022012210221102
1170173648a3742
1225761447b97a6
13c389864052ba
1456157a60c58a
152828c4cabc1c
hex14051df8902e

22012210221102 has 120 divisors (see below), whose sum is σ = 52064052601176. Its totient is φ = 6950184919776.

The previous prime is 22012210221097. The next prime is 22012210221119. The reversal of 22012210221102 is 20112201221022.

It is a happy number.

22012210221102 is a `hidden beast` number, since 220 + 1 + 2 + 210 + 221 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453620613 + ... + 453669135.

Almost surely, 222012210221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012210221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26032026300588).

22012210221102 is an abundant number, since it is smaller than the sum of its proper divisors (30051842380074).

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

22012210221102 is a wasteful number, since it uses less digits than its factorization.

22012210221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56332 (or 56304 counting only the distinct ones).

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

Adding to 22012210221102 its reverse (20112201221022), we get a palindrome (42124411442124).

The spelling of 22012210221102 in words is "twenty-two trillion, twelve billion, two hundred ten million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 1026 1083 1539 2166 3078 3249 6498 7757 9747 15514 19494 23271 29241 46542 48523 58482 69813 97046 139626 145569 147383 209439 291138 294766 418878 436707 442149 628317 873414 884298 921937 1256634 1310121 1326447 1843874 2620242 2652894 2765811 2800277 3930363 3979341 5531622 5600554 7860726 7958682 8297433 8400831 11938023 16594866 16801662 17516803 23876046 24892299 25202493 35033606 49784598 50404986 52550409 74676897 75607479 105100818 149353794 151214958 157651227 226822437 315302454 376392911 453644874 472953681 752785822 945907362 1129178733 1418861043 2258357466 2837722086 3387536199 6775072398 7151465309 10162608597 14302930618 20325217194 21454395927 30487825791 42908791854 60975651582 64363187781 128726375562 135877840871 193089563343 271755681742 386179126686 407633522613 579268690029 815267045226 1158537380058 1222900567839 2445801135678 3668701703517 7337403407034 11006105110551 22012210221102