Search a number
-
+
131103131313 = 371134690463
BaseRepresentation
bin111101000011001011…
…0110000011010110001
3110112101210200010022010
41322012112300122301
54121444400200223
6140121123033133
712320600141430
oct1720626603261
9415353603263
10131103131313
1150667333000
12214aa20b7a9
13c4945b085b
1464b9bc1117
153624b17393
hex1e865b06b1

131103131313 has 32 divisors (see below), whose sum is σ = 219738857472. Its totient is φ = 68105508240.

The previous prime is 131103131273. The next prime is 131103131329. The reversal of 131103131313 is 313131301131.

It is not a de Polignac number, because 131103131313 - 212 = 131103127217 is a prime.

It is a super-2 number, since 2×1311031313132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131103131313.

It is not an unprimeable number, because it can be changed into a prime (131103131363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2317281 + ... + 2373182.

It is an arithmetic number, because the mean of its divisors is an integer number (6866839296).

Almost surely, 2131103131313 is an apocalyptic number.

It is an amenable number.

131103131313 is a deficient number, since it is larger than the sum of its proper divisors (88635726159).

131103131313 is an equidigital number, since it uses as much as digits as its factorization.

131103131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690506 (or 4690484 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 131103131313 its reverse (313131301131), we get a palindrome (444234432444).

The spelling of 131103131313 in words is "one hundred thirty-one billion, one hundred three million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 1331 2541 3993 9317 27951 4690463 14071389 32833241 51595093 98499723 154785279 361165651 567546023 1083496953 1702638069 3972822161 6243006253 11918466483 18729018759 43701043771 131103131313