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22320011002322 = 21117538711078369
BaseRepresentation
bin1010001001100110010000…
…10100111100000111010010
32221000202211221110121222002
411010303020110330013102
510411142340304033242
6115245401013314002
74462365452122055
oct504631024740722
987022757417862
1022320011002322
117125955369370
122605926635902
13c5b9ca404487
1457241979aa9c
1528a8dc213432
hex144cc853c1d2

22320011002322 has 32 divisors (see below), whose sum is σ = 38679286898880. Its totient is φ = 9546894407680.

The previous prime is 22320011002313. The next prime is 22320011002357.

It is a happy number.

22320011002322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×223200110023223 (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 = 22320011002294 and 22320011002303.

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 15 ways as a sum of consecutive naturals, for example, 3524447 + ... + 7553922.

It is an arithmetic number, because the mean of its divisors is an integer number (1208727715590).

Almost surely, 222320011002322 is an apocalyptic number.

22320011002322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22320011002322 is a deficient number, since it is larger than the sum of its proper divisors (16359275896558).

22320011002322 is a wasteful number, since it uses less digits than its factorization.

22320011002322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083786.

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

It can be divided in two parts, 2232001 and 1002322, that added together give a palindrome (3234323).

The spelling of 22320011002322 in words is "twenty-two trillion, three hundred twenty billion, eleven million, two thousand, three hundred twenty-two".

Divisors: 1 2 11 17 22 34 187 374 5387 10774 59257 91579 118514 183158 1007369 2014738 11078369 22156738 121862059 188332273 243724118 376664546 2071655003 4143310006 59679173803 119358347606 656470911833 1014545954651 1312941823666 2029091909302 11160005501161 22320011002322