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131402405013 = 31159892692819
BaseRepresentation
bin111101001100000110…
…0011001010010010101
3110120011122210210122020
41322120030121102111
54123103003430023
6140210533323353
712331163004465
oct1723014312225
9416148723566
10131402405013
1150800260840
1221572496559
13c5115b5b99
146507845ba5
153641030de3
hex1e98319495

131402405013 has 64 divisors (see below), whose sum is σ = 197354880000. Its totient is φ = 77093265920.

The previous prime is 131402405003. The next prime is 131402405047. The reversal of 131402405013 is 310504204131.

It is a happy number.

It is not a de Polignac number, because 131402405013 - 29 = 131402404501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131402405003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46611718 + ... + 46614536.

It is an arithmetic number, because the mean of its divisors is an integer number (3083670000).

Almost surely, 2131402405013 is an apocalyptic number.

It is an amenable number.

131402405013 is a deficient number, since it is larger than the sum of its proper divisors (65952474987).

131402405013 is a wasteful number, since it uses less digits than its factorization.

131402405013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 131402405013 its reverse (310504204131), we get a palindrome (441906609144).

The spelling of 131402405013 in words is "one hundred thirty-one billion, four hundred two million, four hundred five thousand, thirteen".

Divisors: 1 3 11 33 59 89 177 267 269 649 807 979 1947 2819 2937 2959 5251 8457 8877 15753 15871 23941 31009 47613 57761 71823 93027 166321 173283 174581 250891 263351 498963 523743 752673 758311 790053 1412519 1829531 2274933 2759801 4237557 5488593 8279403 8341421 14802569 15537709 25024263 44407707 44740349 46613127 67489679 134221047 162828259 202469037 488484777 492143839 742386469 1476431517 2227159407 3981891061 11945673183 43800801671 131402405013