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34200433113 = 3711831783781
BaseRepresentation
bin11111110110100000…
…010011000111011001
310021021111011000100220
4133312200103013121
51030020302324423
623413401550253
72320342612350
oct376640230731
9107244130326
1034200433113
1113560286660
1267657a5389
1332c0692c92
141926254997
15d527919e3
hex7f68131d9

34200433113 has 32 divisors (see below), whose sum is σ = 57537672192. Its totient is φ = 17552395200.

The previous prime is 34200433109. The next prime is 34200433159. The reversal of 34200433113 is 31133400243.

It is not a de Polignac number, because 34200433113 - 22 = 34200433109 is a prime.

It is a super-3 number, since 3×342004331133 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34200433193) 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, 872718 + ... + 911063.

It is an arithmetic number, because the mean of its divisors is an integer number (1798052256).

Almost surely, 234200433113 is an apocalyptic number.

34200433113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34200433113 is a deficient number, since it is larger than the sum of its proper divisors (23337239079).

34200433113 is a wasteful number, since it uses less digits than its factorization.

34200433113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783885.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34200433113 its reverse (31133400243), we get a palindrome (65333833356).

The spelling of 34200433113 in words is "thirty-four billion, two hundred million, four hundred thirty-three thousand, one hundred thirteen".

Divisors: 1 3 7 11 21 33 77 83 231 249 581 913 1743 2739 6391 19173 1783781 5351343 12486467 19621591 37459401 58864773 137351137 148053823 412053411 444161469 1036376761 1628592053 3109130283 4885776159 11400144371 34200433113