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22001312121322 = 2172997727298369
BaseRepresentation
bin1010000000010100101000…
…11001001100000111101010
32212220022020021022000200211
411000022110121030013222
510340432141400340242
6114443132510251334
74430354011253362
oct500122431140752
985808207260624
1022001312121322
117012782135006
122574002ab6b4a
13c3793a638351
14560c250a59a2
1528248814a317
hex14029464c1ea

22001312121322 has 64 divisors (see below), whose sum is σ = 36202784436000. Its totient is φ = 9981455368192.

The previous prime is 22001312121317. The next prime is 22001312121329. The reversal of 22001312121322 is 22312121310022.

It can be written as a sum of positive squares in 16 ways, for example, as 19539679777641 + 2461632343681 = 4420371^2 + 1568959^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22001312121293 and 22001312121302.

It is not an unprimeable number, because it can be changed into a prime (22001312121329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2628901554 + ... + 2628909922.

Almost surely, 222001312121322 is an apocalyptic number.

22001312121322 is a deficient number, since it is larger than the sum of its proper divisors (14201472314678).

22001312121322 is a wasteful number, since it uses less digits than its factorization.

22001312121322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12123.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22001312121322 its reverse (22312121310022), we get a palindrome (44313433431344).

The spelling of 22001312121322 in words is "twenty-two trillion, one billion, three hundred twelve million, one hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 17 29 34 58 493 977 986 1954 2729 5458 8369 16609 16738 28333 33218 46393 56666 79141 92786 142273 158282 242701 284546 481661 485402 963322 1345397 2666233 2690794 4125917 5332466 8176513 8251834 16353026 22839001 45325961 45678002 77320757 90651922 139000721 154641514 237118877 278001442 388263017 474237754 662331029 776526034 1314452869 1324662058 2628905738 4031020909 8062041818 11259627493 22313703977 22519254986 44627407954 379332967609 647097415333 758665935218 1294194830666 11000656060661 22001312121322