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13201434114 = 23112923928859
BaseRepresentation
bin11000100101101110…
…11110011000000010
31021002000211100010020
430102313132120002
5204014031342424
610021544314310
7645100224051
oct142267363002
937060740106
1013201434114
115664957930
122685172996
13132503b99b
148d3402398
15523e91079
hex312dde602

13201434114 has 64 divisors (see below), whose sum is σ = 29922048000. Its totient is φ = 3846194240.

The previous prime is 13201434107. The next prime is 13201434149. The reversal of 13201434114 is 41143410231.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443017 + ... + 471875.

It is an arithmetic number, because the mean of its divisors is an integer number (467532000).

Almost surely, 213201434114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201434114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961024000).

13201434114 is an abundant number, since it is smaller than the sum of its proper divisors (16720613886).

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

13201434114 is a wasteful number, since it uses less digits than its factorization.

13201434114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29143.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13201434114 its reverse (41143410231), we get a palindrome (54344844345).

The spelling of 13201434114 in words is "thirteen billion, two hundred one million, four hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 239 319 478 638 717 957 1434 1914 2629 5258 6931 7887 13862 15774 20793 28859 41586 57718 76241 86577 152482 173154 228723 317449 457446 634898 836911 952347 1673822 1904694 2510733 5021466 6897301 9206021 13794602 18412042 20691903 27618063 41383806 55236126 75870311 151740622 200021729 227610933 400043458 455221866 600065187 1200130374 2200239019 4400478038 6600717057 13201434114