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2221310132132 = 2271329220993457
BaseRepresentation
bin100000010100110000011…
…001101011111110100100
321212100120220220102010112
4200110300121223332210
5242343220343212012
64420242241112152
7316325064406130
oct40246031537644
97770526812115
102221310132132
11787063729733
122ba608328658
13131612802b90
1479724c543c0
153cbac210122
hex2053066bfa4

2221310132132 has 144 divisors (see below), whose sum is σ = 4958821795200. Its totient is φ = 847808446464.

The previous prime is 2221310132117. The next prime is 2221310132137. The reversal of 2221310132132 is 2312310131222.

It is a super-2 number, since 2×22213101321322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221310132098 and 2221310132107.

It is not an unprimeable number, because it can be changed into a prime (2221310132137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 642552548 + ... + 642556004.

Almost surely, 22221310132132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221310132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479410897600).

2221310132132 is an abundant number, since it is smaller than the sum of its proper divisors (2737511663068).

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

2221310132132 is a wasteful number, since it uses less digits than its factorization.

2221310132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2221310132132 its reverse (2312310131222), we get a palindrome (4533620263354).

The spelling of 2221310132132 in words is "two trillion, two hundred twenty-one billion, three hundred ten million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 841 1508 1682 2099 2639 3364 3457 4198 5278 5887 6914 8396 10556 10933 11774 13828 14693 21866 23548 24199 27287 29386 43732 44941 48398 54574 58772 60871 76531 89882 96796 100253 109148 121742 153062 179764 191009 200506 243484 306124 314587 382018 401012 426097 629174 701771 764036 791323 852194 1258348 1303289 1403542 1582646 1704388 1765259 2606578 2807084 2907337 3165292 3530518 5213156 5539261 5814674 7061036 7256243 9123023 11078522 11629348 12356813 14512486 18246046 20351359 22157044 22948367 24713626 29024972 36492092 37795381 40702718 45896734 49427252 50793701 75590762 81405436 91793468 94331159 101587402 151181524 160638569 188662318 203174804 210431047 264567667 321277138 377324636 420862094 529135334 642554276 660318113 841724188 1058270668 1320636226 1473017329 2641272452 2735603611 2946034658 5471207222 5892069316 6102500363 10942414444 12205000726 19149225277 24410001452 38298450554 42717502541 76596901108 79332504719 85435005082 158665009438 170870010164 317330018876 555327533033 1110655066066 2221310132132