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131343343131 = 37111373359669
BaseRepresentation
bin111101001010010101…
…1000101111000011011
3110120000112200010222010
41322110223011320123
54122442343440011
6140201023401003
712326544665430
oct1722453057033
9416015603863
10131343343131
115077a990770
1221556753163
13c5022a6c20
1464dda6db87
15363ac661a6
hex1e94ac5e1b

131343343131 has 64 divisors (see below), whose sum is σ = 235456865280. Its totient is φ = 62894845440.

The previous prime is 131343343129. The next prime is 131343343217.

131343343131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131343343131 - 21 = 131343343129 is a prime.

It is a super-2 number, since 2×1313433431312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131343343121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2171365 + ... + 2231033.

It is an arithmetic number, because the mean of its divisors is an integer number (3679013520).

Almost surely, 2131343343131 is an apocalyptic number.

131343343131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131343343131 is a deficient number, since it is larger than the sum of its proper divisors (104113522149).

131343343131 is a wasteful number, since it uses less digits than its factorization.

131343343131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60436.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 131343 and 343131, that added together give a palindrome (474474).

The spelling of 131343343131 in words is "one hundred thirty-one billion, three hundred forty-three million, three hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 733 1001 2199 3003 5131 8063 9529 15393 24189 28587 56441 59669 66703 104819 169323 179007 200109 314457 417683 656359 733733 775697 1253049 1969077 2201199 2327091 4594513 5429879 8532667 13783539 16289637 25598001 43737377 59728669 131212131 179186007 306161639 481111147 568585901 918484917 1443333441 1705757703 3367778029 3980101307 6254444911 10103334087 11940303921 18763334733 43781114377 131343343131