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34121013333 = 31119257921101
BaseRepresentation
bin11111110001110001…
…010101100001010101
310021001221201001220120
4133301301111201111
51024334434411313
623401443422153
72315356553661
oct376161254125
9107057631816
1034121013333
111351a471380
126743084959
1332aa0a6a24
14191989d8a1
15d4a804d23
hex7f1c55855

34121013333 has 32 divisors (see below), whose sum is σ = 52265433600. Its totient is φ = 19582488000.

The previous prime is 34121013331. The next prime is 34121013341. The reversal of 34121013333 is 33331012143.

It is a happy number.

It is not a de Polignac number, because 34121013333 - 21 = 34121013331 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121013331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1606483 + ... + 1627583.

It is an arithmetic number, because the mean of its divisors is an integer number (1633294800).

Almost surely, 234121013333 is an apocalyptic number.

34121013333 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34121013333 is a deficient number, since it is larger than the sum of its proper divisors (18144420267).

34121013333 is a wasteful number, since it uses less digits than its factorization.

34121013333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23713.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 34121013333 its reverse (33331012143), we get a palindrome (67452025476).

The spelling of 34121013333 in words is "thirty-four billion, one hundred twenty-one million, thirteen thousand, three hundred thirty-three".

Divisors: 1 3 11 19 33 57 209 627 2579 7737 21101 28369 49001 63303 85107 147003 232111 400919 539011 696333 1202757 1617033 4410109 13230327 54419479 163258437 598614269 1033970101 1795842807 3101910303 11373671111 34121013333