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131141340214302 = 23117988372846189
BaseRepresentation
bin11101110100010110111000…
…111111111011010000011110
3122012022222201110222112101210
4131310112320333323100132
5114142104431043324202
61142525255555445250
736423435443360235
oct3564267077732036
9565288643875353
10131141340214302
1138870803781090
12128600a15b6826
135823762c8ac12
1424553bbc21b1c
151026449516c6c
hex7745b8ffb41e

131141340214302 has 64 divisors (see below), whose sum is σ = 289781305574400. Its totient is φ = 39232310782080.

The previous prime is 131141340214301. The next prime is 131141340214303. The reversal of 131141340214302 is 203412043141131.

It is an interprime number because it is at equal distance from previous prime (131141340214301) and next prime (131141340214303).

It is a super-2 number, since 2×1311413402143022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131141340214302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141340214301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44653024 + ... + 47499212.

It is an arithmetic number, because the mean of its divisors is an integer number (4527832899600).

Almost surely, 2131141340214302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141340214302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144890652787200).

131141340214302 is an abundant number, since it is smaller than the sum of its proper divisors (158639965360098).

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

131141340214302 is a wasteful number, since it uses less digits than its factorization.

131141340214302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855121.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131141340214302 its reverse (203412043141131), we get a palindrome (334553383355433).

The spelling of 131141340214302 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 5214 8837 17674 26511 53022 97207 194414 291621 583242 698123 1396246 2094369 2846189 4188738 5692378 7679353 8538567 15358706 17077134 23038059 31308079 46076118 62616158 93924237 187848474 224848931 449697862 674546793 1349093586 2473338241 4946676482 7420014723 14840029446 25151772193 50303544386 75455316579 150910633158 276669494123 553338988246 830008482369 1660016964738 1986990003247 3973980006494 5960970009741 11921940019482 21856890035717 43713780071434 65570670107151 131141340214302