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334121344311 = 33137259337447
BaseRepresentation
bin1001101110010110010…
…11110001110100110111
31011221102111020220200010
410313023023301310313
520433240031004221
6413254311551303
733065560365306
oct4671313616467
91157374226603
10334121344311
11119777874307
125490868b533
1325679cc0181
1412258a8a43d
158a5802bc76
hex4dcb2f1d37

334121344311 has 32 divisors (see below), whose sum is σ = 472489504768. Its totient is φ = 209649669120.

The previous prime is 334121344289. The next prime is 334121344351. The reversal of 334121344311 is 113443121433.

It is not a de Polignac number, because 334121344311 - 25 = 334121344279 is a prime.

It is a super-2 number, since 2×3341213443112 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334121344351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8903790 + ... + 8941236.

It is an arithmetic number, because the mean of its divisors is an integer number (14765297024).

Almost surely, 2334121344311 is an apocalyptic number.

334121344311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

334121344311 is a deficient number, since it is larger than the sum of its proper divisors (138368160457).

334121344311 is a wasteful number, since it uses less digits than its factorization.

334121344311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40111.

The product of its digits is 10368, while the sum is 30.

Adding to 334121344311 its reverse (113443121433), we get a palindrome (447564465744).

The spelling of 334121344311 in words is "three hundred thirty-four billion, one hundred twenty-one million, three hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 31 37 93 111 1147 2593 3441 7779 37447 80383 95941 112341 241149 287823 1160857 1385539 2974171 3482571 4156617 8922513 42951709 97100071 128855127 291300213 3010102201 3592702627 9030306603 10778107881 111373781437 334121344311