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131024523434 = 2726730796481
BaseRepresentation
bin111101000000110101…
…0111001000010101010
3110112012022202102120012
41322001222321002222
54121314234222214
6140105234131522
712315624034100
oct1720152710252
9415168672505
10131024523434
1150626a22812
1221487a20ba2
13c48121a00c
1464ad59bc70
15361cc8b03e
hex1e81ab90aa

131024523434 has 48 divisors (see below), whose sum is σ = 232147903680. Its totient is φ = 55288759680.

The previous prime is 131024523401. The next prime is 131024523437. The reversal of 131024523434 is 434325420131.

It is a super-2 number, since 2×1310245234342 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131024523434.

It is not an unprimeable number, because it can be changed into a prime (131024523437) 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 23 ways as a sum of consecutive naturals, for example, 20213474 + ... + 20219954.

It is an arithmetic number, because the mean of its divisors is an integer number (4836414660).

Almost surely, 2131024523434 is an apocalyptic number.

131024523434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131024523434 is a deficient number, since it is larger than the sum of its proper divisors (101123380246).

131024523434 is a wasteful number, since it uses less digits than its factorization.

131024523434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9636 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 131024523434 its reverse (434325420131), we get a palindrome (565349943565).

The spelling of 131024523434 in words is "one hundred thirty-one billion, twenty-four million, five hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 7 14 49 67 98 134 469 938 3079 3283 6158 6481 6566 12962 21553 43106 45367 90734 150871 206293 301742 317569 412586 434227 635138 868454 1444051 2888102 3039589 6079178 10108357 19954999 20216714 21277123 39909998 42554246 139684993 279369986 977794951 1336984933 1955589902 2673969866 9358894531 18717789062 65512261717 131024523434