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20221020130332 = 22372392175146307
BaseRepresentation
bin1001001100100000100101…
…01110001100110000011100
32122121002222122211110010210
410212100102232030300130
510122300122123132312
6111001224114332420
74154630505104460
oct446202256146034
978532878743123
1020221020130332
11649676078027a
122326b7688a110
13b38aac445548
144dc9b9cd24a0
15250edd8d1e3c
hex126412b8cc1c

20221020130332 has 96 divisors (see below), whose sum is σ = 54151997276160. Its totient is φ = 5752872216000.

The previous prime is 20221020130301. The next prime is 20221020130369. The reversal of 20221020130332 is 23303102012202.

It is a happy number.

It is a super-2 number, since 2×202210201303322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20221020130299 and 20221020130308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436649923 + ... + 436696229.

It is an arithmetic number, because the mean of its divisors is an integer number (564083304960).

Almost surely, 220221020130332 is an apocalyptic number.

It is an amenable number.

20221020130332 is an abundant number, since it is smaller than the sum of its proper divisors (33930977145828).

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

20221020130332 is a wasteful number, since it uses less digits than its factorization.

20221020130332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68311 (or 68309 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20221020130332 its reverse (23303102012202), we get a palindrome (43524122142534).

The spelling of 20221020130332 in words is "twenty trillion, two hundred twenty-one billion, twenty million, one hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 239 478 717 956 1434 1673 2868 3346 5019 6692 10038 20076 21751 43502 46307 65253 87004 92614 130506 138921 152257 185228 261012 277842 304514 324149 456771 555684 609028 648298 913542 972447 1296596 1827084 1944894 3889788 5198489 10396978 11067373 15595467 20793956 22134746 31190934 33202119 36389423 44269492 62381868 66404238 72778846 77471611 109168269 132808476 145557692 154943222 218336538 232414833 309886444 436673076 464829666 929659332 1007223557 2014447114 3021670671 4028894228 6043341342 7050564899 12086682684 14101129798 21151694697 28202259596 42303389394 84606778788 240726430123 481452860246 722179290369 962905720492 1444358580738 1685085010861 2888717161476 3370170021722 5055255032583 6740340043444 10110510065166 20221020130332