Search a number
-
+
13531144101 = 31719471991493
BaseRepresentation
bin11001001101000010…
…01101111110100101
31021221000020100012020
430212201031332211
5210202433102401
610114403213353
7656212553466
oct144641157645
937830210166
1013531144101
115813a83922
122757677259
13137843c757
1492510ad6d
15542dbcd36
hex32684dfa5

13531144101 has 64 divisors (see below), whose sum is σ = 20653056000. Its totient is φ = 7827342336.

The previous prime is 13531144087. The next prime is 13531144117. The reversal of 13531144101 is 10144113531.

It is not a de Polignac number, because 13531144101 - 25 = 13531144069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531144141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9062311 + ... + 9063803.

It is an arithmetic number, because the mean of its divisors is an integer number (322704000).

Almost surely, 213531144101 is an apocalyptic number.

It is an amenable number.

13531144101 is a deficient number, since it is larger than the sum of its proper divisors (7121911899).

13531144101 is a wasteful number, since it uses less digits than its factorization.

13531144101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 13531144101 its reverse (10144113531), we get a palindrome (23675257632).

The spelling of 13531144101 in words is "thirteen billion, five hundred thirty-one million, one hundred forty-four thousand, one hundred one".

Divisors: 1 3 17 19 47 51 57 141 199 323 597 799 893 969 1493 2397 2679 3383 3781 4479 9353 10149 11343 15181 25381 28059 28367 45543 64277 70171 76143 85101 159001 177707 192831 210513 297107 477003 482239 533121 891321 1192907 1333249 1446717 3021019 3578721 3999747 5050819 5645033 9063057 13964029 15152457 16935099 22665233 41892087 67995699 95965561 237388493 265316551 287896683 712165479 795949653 4510381367 13531144101