Search a number
-
+
131320000231101 = 33115354799152239
BaseRepresentation
bin11101110110111101010001…
…111101110011011010111101
3122012222001212121022202021000
4131312331101331303122331
5114203021330024343401
61143143324132000513
736442362011431623
oct3566752175633275
9565861777282230
10131320000231101
113892a554697030
121288a842460139
1358375661084a6
14245dcc9a8d513
15102ae04283186
hex776f51f736bd

131320000231101 has 64 divisors (see below), whose sum is σ = 216244131840000. Its totient is φ = 78084282968640.

The previous prime is 131320000231037. The next prime is 131320000231117. The reversal of 131320000231101 is 101132000023131.

131320000231101 is a `hidden beast` number, since 1 + 31 + 320 + 0 + 0 + 0 + 2 + 311 + 0 + 1 = 666.

It is not a de Polignac number, because 131320000231101 - 26 = 131320000231037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131320000231171) 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, 862514940 + ... + 862667178.

It is an arithmetic number, because the mean of its divisors is an integer number (3378814560000).

Almost surely, 2131320000231101 is an apocalyptic number.

131320000231101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131320000231101 is a deficient number, since it is larger than the sum of its proper divisors (84924131608899).

131320000231101 is a wasteful number, since it uses less digits than its factorization.

131320000231101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207111 (or 207105 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131320000231101 its reverse (101132000023131), we get a palindrome (232452000254232).

The spelling of 131320000231101 in words is "one hundred thirty-one trillion, three hundred twenty billion, two hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 11 27 33 53 99 159 297 477 583 1431 1749 5247 15741 54799 152239 164397 456717 493191 602789 1370151 1479573 1674629 1808367 2904347 4110453 5023887 5425101 8068667 8713041 15071661 16275303 24206001 26139123 31947817 45214983 72618003 78417369 88755337 95843451 217854009 266266011 287530353 798798033 862591059 2396394099 8342544961 25027634883 75082904649 91767994571 225248713947 275303983713 442154882933 825911951139 1326464648799 2477735853417 3979393946397 4863703712263 11938181839191 14591111136789 43773333410367 131320000231101