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1310132322121 = 72416789109363
BaseRepresentation
bin10011000100001001111…
…110001011111101001001
311122020200101002202011211
4103010021332023331021
5132431122333301441
62441511054253121
7163440204665200
oct23041176137511
94566611082154
101310132322121
114656955a4827
12191ab47b71a1
139671133430c
14475a7114237
152412d71ea81
hex13109f8bf49

1310132322121 has 48 divisors (see below), whose sum is σ = 1602322585920. Its totient is φ = 1067093153280.

The previous prime is 1310132322073. The next prime is 1310132322143. The reversal of 1310132322121 is 1212232310131.

It is not a de Polignac number, because 1310132322121 - 29 = 1310132321609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310132322092 and 1310132322101.

It is not an unprimeable number, because it can be changed into a prime (1310132322221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11924986 + ... + 12034348.

It is an arithmetic number, because the mean of its divisors is an integer number (33381720540).

Almost surely, 21310132322121 is an apocalyptic number.

It is an amenable number.

1310132322121 is a deficient number, since it is larger than the sum of its proper divisors (292190263799).

1310132322121 is a wasteful number, since it uses less digits than its factorization.

1310132322121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109574 (or 109567 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1310132322121 its reverse (1212232310131), we get a palindrome (2522364632252).

The spelling of 1310132322121 in words is "one trillion, three hundred ten billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 41 49 67 89 287 469 623 2009 2747 3283 3649 4361 5963 19229 25543 41741 109363 134603 178801 244483 292187 765541 1711381 4483883 5358787 7327321 9733307 11979667 31387181 51291247 68133149 219710267 300420161 359038729 399065587 476932043 652131569 2102941127 2793459109 4564920983 14720587889 19554213763 26737394329 31954446881 187161760303 1310132322121