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131143211303103 = 33291297312910517
BaseRepresentation
bin11101110100011000101000…
…100001100100000010111111
3122012100011112212202200201000
4131310120220201210002333
5114142122244043144403
61142530205355421343
736423533013354516
oct3564305041440277
9565304485680630
10131143211303103
113887158397a86a
1212860524154853
1358239a080b25c
14245551852167d
1510265089137a3
hex7746288640bf

131143211303103 has 32 divisors (see below), whose sum is σ = 201001272638400. Its totient is φ = 84407507630208.

The previous prime is 131143211303101. The next prime is 131143211303123. The reversal of 131143211303103 is 301303112341131.

131143211303103 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 43 + 211 + 303 + 103 = 666.

It is not a de Polignac number, because 131143211303103 - 21 = 131143211303101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131143211303101) 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, 3702601 + ... + 16613117.

It is an arithmetic number, because the mean of its divisors is an integer number (6281289769950).

Almost surely, 2131143211303103 is an apocalyptic number.

131143211303103 is a deficient number, since it is larger than the sum of its proper divisors (69858061335297).

131143211303103 is a wasteful number, since it uses less digits than its factorization.

131143211303103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12923528 (or 12923522 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131143211303103 its reverse (301303112341131), we get a palindrome (432446323644234).

The spelling of 131143211303103 in words is "one hundred thirty-one trillion, one hundred forty-three billion, two hundred eleven million, three hundred three thousand, one hundred three".

Divisors: 1 3 9 27 29 87 261 783 12973 38919 116757 350271 376217 1128651 3385953 10157859 12910517 38731551 116194653 348583959 374404993 1123214979 3369644937 10108934811 167488137041 502464411123 1507393233369 4522179700107 4857155974189 14571467922567 43714403767701 131143211303103