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334334111100112 = 24291433502824601
BaseRepresentation
bin100110000000100110011100…
…1111011011010110011010000
31121211210000210001022111112201
41030001030321323122303100
5322310212224420200422
63143022545325532544
7130264561642523404
oct11401147173326320
91554700701274481
10334334111100112
1197590333709872
12315b8235414154
1311472757483ba6
145c7bc006a3104
15289bbe6799727
hex1301339edacd0

334334111100112 has 40 divisors (see below), whose sum is σ = 670576945719240. Its totient is φ = 161290041292800.

The previous prime is 334334111100109. The next prime is 334334111100113. The reversal of 334334111100112 is 211001111433433.

It can be written as a sum of positive squares in 4 ways, for example, as 42161957914176 + 292172153185936 = 6493224^2 + 17093044^2 .

It is a super-2 number, since 2×3343341111001122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334334111100113) 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 7 ways as a sum of consecutive naturals, for example, 250747389 + ... + 252077212.

It is an arithmetic number, because the mean of its divisors is an integer number (16764423642981).

Almost surely, 2334334111100112 is an apocalyptic number.

It is an amenable number.

334334111100112 is an abundant number, since it is smaller than the sum of its proper divisors (336242834619128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

334334111100112 is a wasteful number, since it uses less digits than its factorization.

334334111100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502826071 (or 502826065 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 334334111100112 its reverse (211001111433433), we get a palindrome (545335222533545).

The spelling of 334334111100112 in words is "three hundred thirty-four trillion, three hundred thirty-four billion, one hundred eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 1433 2866 5732 11464 22928 41557 83114 166228 332456 664912 502824601 1005649202 2011298404 4022596808 8045193616 14581913429 29163826858 58327653716 116655307432 233310614864 720547653233 1441095306466 2882190612932 5764381225864 11528762451728 20895881943757 41791763887514 83583527775028 167167055550056 334334111100112