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34052333113 = 101829406697
BaseRepresentation
bin11111101101101011…
…010101111000111001
310020220011110202100201
4133231223111320321
51024214344124423
623350551402201
72313564025051
oct375553257071
9106804422321
1034052333113
1113494721967
126724083361
133298aaab46
141910702561
15d4478a2ad
hex7edad5e39

34052333113 has 8 divisors (see below), whose sum is σ = 34431052680. Its totient is φ = 33674428800.

The previous prime is 34052333111. The next prime is 34052333137. The reversal of 34052333113 is 31133325043.

It can be written as a sum of positive squares in 4 ways, for example, as 12631961664 + 21420371449 = 112392^2 + 146357^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34052333113 - 21 = 34052333111 is a prime.

It is a super-2 number, since 2×340523331132 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34052333111) 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, 119620 + ... + 287077.

It is an arithmetic number, because the mean of its divisors is an integer number (4303881585).

Almost surely, 234052333113 is an apocalyptic number.

It is an amenable number.

34052333113 is a deficient number, since it is larger than the sum of its proper divisors (378719567).

34052333113 is a wasteful number, since it uses less digits than its factorization.

34052333113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407627.

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 34052333113 its reverse (31133325043), we get a palindrome (65185658156).

The spelling of 34052333113 in words is "thirty-four billion, fifty-two million, three hundred thirty-three thousand, one hundred thirteen".

Divisors: 1 101 829 83729 406697 41076397 337151813 34052333113