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131324135124 = 223713120260197
BaseRepresentation
bin111101001001110000…
…1110100011011010100
3110112222012112021112110
41322103201310123110
54122422434310444
6140155055551020
712326222505420
oct1722341643324
9415865467473
10131324135124
1150770061486
122155022b470
13c4cb310140
1464db2adb80
15363921ecb9
hex1e938746d4

131324135124 has 48 divisors (see below), whose sum is σ = 377135980928. Its totient is φ = 34634936448.

The previous prime is 131324135119. The next prime is 131324135233. The reversal of 131324135124 is 421531423131.

It is a super-2 number, since 2×1313241351242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131324135091 and 131324135100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60129007 + ... + 60131190.

Almost surely, 2131324135124 is an apocalyptic number.

131324135124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131324135124 is an abundant number, since it is smaller than the sum of its proper divisors (245811845804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131324135124 is a wasteful number, since it uses less digits than its factorization.

131324135124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120260224 (or 120260222 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

Adding to 131324135124 its reverse (421531423131), we get a palindrome (552855558255).

The spelling of 131324135124 in words is "one hundred thirty-one billion, three hundred twenty-four million, one hundred thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 120260197 240520394 360780591 481040788 721561182 841821379 1443122364 1563382561 1683642758 2525464137 3126765122 3367285516 4690147683 5050928274 6253530244 9380295366 10101856548 10943677927 18760590732 21887355854 32831033781 43774711708 65662067562 131324135124