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131141134132242 = 231310972735116043
BaseRepresentation
bin11101110100010110101100…
…101101110010010000010010
3122012022222012010012110221220
4131310112230231302100102
5114142104020314212432
61142525223314425510
736423430361612013
oct3564265455622022
9565288163173856
10131141134132242
1138870708414633
1212860044592296
13582372c384480
14245539c6d900a
1510264363aa72c
hex7745acb72412

131141134132242 has 128 divisors (see below), whose sum is σ = 285569820856320. Its totient is φ = 39907953296640.

The previous prime is 131141134132241. The next prime is 131141134132297. The reversal of 131141134132242 is 242231431141131.

It is a super-2 number, since 2×1311411341322422 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131141134132241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21701326473 + ... + 21701332515.

It is an arithmetic number, because the mean of its divisors is an integer number (2231014225440).

Almost surely, 2131141134132242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141134132242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142784910428160).

131141134132242 is an abundant number, since it is smaller than the sum of its proper divisors (154428686724078).

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

131141134132242 is a wasteful number, since it uses less digits than its factorization.

131141134132242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408.

The product of its digits is 13824, while the sum is 33.

Adding to 131141134132242 its reverse (242231431141131), we get a palindrome (373372565273373).

The spelling of 131141134132242 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred thirty-four million, one hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 654 727 1417 1454 2181 2834 3511 4251 4362 6043 7022 8502 9451 10533 12086 18129 18902 21066 28353 36258 45643 56706 78559 79243 91286 136929 157118 158486 235677 237729 273858 382699 471354 475458 658687 765398 1030159 1148097 1317374 1976061 2060318 2296194 2552497 3090477 3952122 4393261 4975087 5104994 6180954 7657491 8562931 8786522 9950174 13179783 14925261 15314982 17125862 21216973 25688793 26359566 29850522 33182461 42433946 51377586 57112393 63650919 66364922 99547383 114224786 127301838 171337179 199094766 275820649 278222173 342674358 478865449 551641298 556444346 827461947 834666519 957730898 1436596347 1654923894 1669333038 2312650057 2873192694 3616888249 4625300114 6225250837 6937950171 7233776498 10850664747 12450501674 13875900342 15424739371 18675752511 21701329494 30064450741 30849478742 37351505022 46274218113 60128901482 90193352223 92548436226 180386704446 200521611823 401043223646 601564835469 1203129670938 1681296591439 3362593182878 5043889774317 10087779548634 21856855688707 43713711377414 65570567066121 131141134132242