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13141235053233 = 347293110971327
BaseRepresentation
bin1011111100111010111010…
…1001011011001010110001
31201112021211021011121120000
42333032232221123022301
53210301222133200413
643541000001540213
72524265024632110
oct277165651331261
951467737147500
1013141235053233
114207191661691
121582a39044669
137442a0395931
143360796a9c77
1517bc78a1a073
hexbf3aea5b2b1

13141235053233 has 80 divisors (see below), whose sum is σ = 22532309775360. Its totient is φ = 7476795310464.

The previous prime is 13141235053217. The next prime is 13141235053283. The reversal of 13141235053233 is 33235053214131.

13141235053233 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 123 + 505 + 3 + 23 + 3 = 666.

It is not a de Polignac number, because 13141235053233 - 24 = 13141235053217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13141235053213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184203616 + ... + 184274942.

It is an arithmetic number, because the mean of its divisors is an integer number (281653872192).

Almost surely, 213141235053233 is an apocalyptic number.

It is an amenable number.

13141235053233 is a deficient number, since it is larger than the sum of its proper divisors (9391074722127).

13141235053233 is a wasteful number, since it uses less digits than its factorization.

13141235053233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72748 (or 72739 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 13141235053233 its reverse (33235053214131), we get a palindrome (46376288267364).

The spelling of 13141235053233 in words is "thirteen trillion, one hundred forty-one billion, two hundred thirty-five million, fifty-three thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 81 189 293 567 879 1109 2051 2637 3327 6153 7763 7911 9981 18459 23289 23733 29943 55377 69867 71327 89829 166131 209601 213981 324937 499289 628803 641943 974811 1497867 1925829 2274559 2924433 4493601 5777487 6823677 8773299 13480803 20471031 20898811 26319897 40442409 61413093 62696433 79101643 146291677 184239279 188089299 237304929 438875031 553711501 564267897 711914787 1316625093 1661134503 1692803691 2135744361 3949875279 4983403509 6407233083 11849625837 14950210527 23176781399 44850631581 69530344197 162237469793 208591032591 486712409379 625773097773 1460137228137 1877319293319 4380411684411 13141235053233