Search a number
-
+
131201204121243 = 321924312217387
BaseRepresentation
bin11101110101001110101001…
…001010100110111010011011
3122012112201020111111002120100
4131311032221022212322123
5114144100031223334433
61143013000123030443
736430655101236204
oct3565165112467233
9565481214432510
10131201204121243
1138894133355443
121286b80996b423
1358292b3478169
14245825a5aa5ab
151027c9ed35b13
hex7753a92a6e9b

131201204121243 has 54 divisors (see below), whose sum is σ = 200478241597452. Its totient is φ = 82671278423760.

The previous prime is 131201204121227. The next prime is 131201204121307. The reversal of 131201204121243 is 342121402102131.

131201204121243 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 1 + 2 + 0 + 412 + 1 + 243 = 666.

It is not a de Polignac number, because 131201204121243 - 24 = 131201204121227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131201204121223) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 603428796 + ... + 603646182.

Almost surely, 2131201204121243 is an apocalyptic number.

131201204121243 is a deficient number, since it is larger than the sum of its proper divisors (69277037476209).

131201204121243 is an equidigital number, since it uses as much as digits as its factorization.

131201204121243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218293 (or 217840 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131201204121243 its reverse (342121402102131), we get a palindrome (473322606223374).

It can be divided in two parts, 1312012041 and 21243, that added together give a square (1312033284 = 362222).

The spelling of 131201204121243 in words is "one hundred thirty-one trillion, two hundred one billion, two hundred four million, one hundred twenty-one thousand, two hundred forty-three".

Divisors: 1 3 9 19 57 171 361 431 1083 1293 3249 3879 8189 24567 73701 155591 185761 217387 466773 557283 652161 1400319 1671849 1956483 3529459 4130353 10588377 12391059 31765131 37173177 67059721 78476707 93693797 201179163 235430121 281081391 603537489 706290363 843244173 1780182143 5340546429 16021639287 33823460717 40382026507 101470382151 121146079521 304411146453 363438238563 767258503633 2301775510899 6905326532697 14577911569027 43733734707081 131201204121243