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1303111120131 = 323789181242923
BaseRepresentation
bin10010111101100111011…
…110011011010100000011
311121120120001110201201200
4102331213132123110003
5132322232421321011
62434350241432243
7163101210522432
oct22754736332403
94546501421650
101303111120131
11462712289857
1219067533b683
1395b62816b22
14470dc839119
1523d6c118856
hex12f6779b503

1303111120131 has 48 divisors (see below), whose sum is σ = 1965672989280. Its totient is φ = 831143047680.

The previous prime is 1303111120007. The next prime is 1303111120141. The reversal of 1303111120131 is 1310211113031.

1303111120131 is a `hidden beast` number, since 1 + 303 + 111 + 120 + 131 = 666.

It is not a de Polignac number, because 1303111120131 - 29 = 1303111119619 is a prime.

It is a super-2 number, since 2×13031111201312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1303111120141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5242836 + ... + 5485758.

It is an arithmetic number, because the mean of its divisors is an integer number (40951520610).

Almost surely, 21303111120131 is an apocalyptic number.

1303111120131 is a deficient number, since it is larger than the sum of its proper divisors (662561869149).

1303111120131 is a wasteful number, since it uses less digits than its factorization.

1303111120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243236 (or 243233 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1303111120131 its reverse (1310211113031), we get a palindrome (2613322233162).

The spelling of 1303111120131 in words is "one trillion, three hundred three billion, one hundred eleven million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 37 89 111 181 267 333 543 801 1629 3293 6697 9879 16109 20091 29637 48327 60273 144981 242923 596033 728769 1788099 2186307 5364297 8988151 21620147 26964453 43969063 64860441 80893359 131907189 194581323 395721567 799945439 1626855331 2399836317 3913246607 4880565993 7199508951 11739739821 14641697979 35219219463 144790124459 434370373377 1303111120131