Search a number
-
+
1310130031221 = 321171186389249
BaseRepresentation
bin10011000100001001110…
…101011100101001110101
311122020200012210100122200
4103010021311130221311
5132431121241444341
62441510533215113
7163440146344164
oct23041165345165
94566605710580
101310130031221
1146569427a620
12191ab3a91499
1396710a1165b
14475a6ab93db
152412d41adb6
hex13109d5ca75

1310130031221 has 24 divisors (see below), whose sum is σ = 2093524056000. Its totient is φ = 782834841600.

The previous prime is 1310130031213. The next prime is 1310130031237. The reversal of 1310130031221 is 1221300310131.

1310130031221 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 300 + 312 + 21 = 666.

It is not a de Polignac number, because 1310130031221 - 23 = 1310130031213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310130031194 and 1310130031203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310130031271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93187596 + ... + 93201653.

It is an arithmetic number, because the mean of its divisors is an integer number (87230169000).

Almost surely, 21310130031221 is an apocalyptic number.

1310130031221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310130031221 is a deficient number, since it is larger than the sum of its proper divisors (783394024779).

1310130031221 is a wasteful number, since it uses less digits than its factorization.

1310130031221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186389337 (or 186389334 counting only the distinct ones).

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

Adding to 1310130031221 its reverse (1221300310131), we get a palindrome (2531430341352).

The spelling of 1310130031221 in words is "one trillion, three hundred ten billion, one hundred thirty million, thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 7029 186389249 559167747 1677503241 2050281739 6150845217 13233636679 18452535651 39700910037 119102730111 145570003469 436710010407 1310130031221