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13123032131 = 112307541653
BaseRepresentation
bin11000011100011000…
…11001010001000011
31020212120022002211002
430032030121101003
5203333444012011
610010104042215
7643125634616
oct141614312103
936776262732
1013123032131
115624678300
122662a6336b
131311a1aa91
148c6c3417d
1551c155c3b
hex30e319443

13123032131 has 24 divisors (see below), whose sum is σ = 14520427152. Its totient is φ = 11851012800.

The previous prime is 13123032031. The next prime is 13123032133.

13123032131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13123032131 - 230 = 12049290307 is a prime.

It is a super-2 number, since 2×131230321312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13123032133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20096201 + ... + 20096853.

It is an arithmetic number, because the mean of its divisors is an integer number (605017798).

Almost surely, 213123032131 is an apocalyptic number.

13123032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13123032131 is a deficient number, since it is larger than the sum of its proper divisors (1397395021).

13123032131 is a wasteful number, since it uses less digits than its factorization.

13123032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 131230 and 32131, that added together give a palindrome (163361).

The spelling of 13123032131 in words is "thirteen billion, one hundred twenty-three million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 121 307 541 653 3377 5951 7183 37147 65461 79013 166087 200471 353273 1826957 2205181 3886003 20096527 24256991 42746033 108454811 1193002921 13123032131