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131134012205 = 576121815563
BaseRepresentation
bin111101000100000110…
…0100011101100101101
3110112110221210000220212
41322020030203230231
54122030301342310
6140124144552205
712321423466250
oct1721014435455
9415427700825
10131134012205
11506828052a9
12214b8622665
13c49ab03781
1464bdd3d097
1536276b7205
hex1e88323b2d

131134012205 has 48 divisors (see below), whose sum is σ = 183880674432. Its totient is φ = 87941894400.

The previous prime is 131134012199. The next prime is 131134012211. The reversal of 131134012205 is 502210431131.

It is an interprime number because it is at equal distance from previous prime (131134012199) and next prime (131134012211).

It is not a de Polignac number, because 131134012205 - 214 = 131133995821 is a prime.

It is a super-2 number, since 2×1311340122052 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23569754 + ... + 23575316.

It is an arithmetic number, because the mean of its divisors is an integer number (3830847384).

Almost surely, 2131134012205 is an apocalyptic number.

It is an amenable number.

131134012205 is a deficient number, since it is larger than the sum of its proper divisors (52746662227).

131134012205 is an equidigital number, since it uses as much as digits as its factorization.

131134012205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 131134012205 its reverse (502210431131), we get a palindrome (633344443336).

The spelling of 131134012205 in words is "one hundred thirty-one billion, one hundred thirty-four million, twelve thousand, two hundred five".

Divisors: 1 5 7 35 61 181 305 427 905 1267 2135 3721 5563 6335 11041 18605 26047 27815 38941 55205 77287 130235 194705 339343 386435 673501 1006903 1696715 2375401 3367505 4714507 5034515 7048321 11877005 20699923 23572535 35241605 61421083 103499615 144899461 307105415 429947581 724497305 2149737905 3746686063 18733430315 26226802441 131134012205