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34212222221243 = 1131752913325687
BaseRepresentation
bin1111100011101101001110…
…10110100011101110111011
311111010122201120221022111112
413301312213112203232323
513441013112342034433
6200432513343550535
710130515521460403
oct761664726435673
9144118646838445
1034212222221243
11a9a035a595610
123a06683bbb44b
131612277756111
14863c47b13803
153e4e12222348
hex1f1da75a3bbb

34212222221243 has 16 divisors (see below), whose sum is σ = 38531493365760. Its totient is φ = 30094729262400.

The previous prime is 34212222221239. The next prime is 34212222221327.

34212222221243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34212222221243 - 22 = 34212222221239 is a prime.

It is a super-2 number, since 2×342122222212432 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34212222220243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4095455 + ... + 9230232.

It is an arithmetic number, because the mean of its divisors is an integer number (2408218335360).

Almost surely, 234212222221243 is an apocalyptic number.

34212222221243 is a deficient number, since it is larger than the sum of its proper divisors (4319271144517).

34212222221243 is a wasteful number, since it uses less digits than its factorization.

34212222221243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333258.

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 3421222 and 2221243, that added together give a palindrome (5642465).

The spelling of 34212222221243 in words is "thirty-four trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred forty-three".

Divisors: 1 11 31 341 7529 82819 233399 2567389 13325687 146582557 413096297 4544059267 100329097423 1103620071653 3110202020113 34212222221243