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20221020130322 = 21129191165939209
BaseRepresentation
bin1001001100100000100101…
…01110001100110000010010
32122121002222122211110010102
410212100102232030300102
510122300122123132242
6111001224114332402
74154630505104444
oct446202256146022
978532878743112
1020221020130322
116496760780270
122326b7688a102
13b38aac44553b
144dc9b9cd2494
15250edd8d1e32
hex126412b8cc12

20221020130322 has 32 divisors (see below), whose sum is σ = 34409154585600. Its totient is φ = 8827965865600.

The previous prime is 20221020130301. The next prime is 20221020130369. The reversal of 20221020130322 is 22303102012202.

It is a happy number.

It is a super-3 number, since 3×202210201303223 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20221020130294 and 20221020130303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82847747 + ... + 83091462.

It is an arithmetic number, because the mean of its divisors is an integer number (1075286080800).

Almost surely, 220221020130322 is an apocalyptic number.

20221020130322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20221020130322 is a deficient number, since it is larger than the sum of its proper divisors (14188134455278).

20221020130322 is a wasteful number, since it uses less digits than its factorization.

20221020130322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165939442.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20221020130322 its reverse (22303102012202), we get a palindrome (42524122142524).

The spelling of 20221020130322 in words is "twenty trillion, two hundred twenty-one billion, twenty million, one hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 11 22 29 58 191 319 382 638 2101 4202 5539 11078 60929 121858 165939209 331878418 1825331299 3650662598 4812237061 9624474122 31694388919 52934607671 63388777838 105869215342 348638278109 697276556218 919137278651 1838274557302 10110510065161 20221020130322