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131141413102309 = 7919950873163973
BaseRepresentation
bin11101110100010110111101…
…010101111110001011100101
3122012022222220120010121221121
4131310112331111332023211
5114142110103223233214
61142525311122013541
736423440320042561
oct3564267525761345
9565288816117847
10131141413102309
1138870840934a05
1212860101aa72b1
1358237750cb10c
1424553c77966a1
151026450b13424
hex7745bd57e2e5

131141413102309 has 16 divisors (see below), whose sum is σ = 133472212416000. Its totient is φ = 128827416871296.

The previous prime is 131141413102267. The next prime is 131141413102313. The reversal of 131141413102309 is 903201314141131.

It is a cyclic number.

It is not a de Polignac number, because 131141413102309 - 225 = 131141379547877 is a prime.

It is a super-2 number, since 2×1311414131023092 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141413102339) 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 15 ways as a sum of consecutive naturals, for example, 799692447 + ... + 799856419.

It is an arithmetic number, because the mean of its divisors is an integer number (8342013276000).

Almost surely, 2131141413102309 is an apocalyptic number.

It is an amenable number.

131141413102309 is a deficient number, since it is larger than the sum of its proper divisors (2330799313691).

131141413102309 is a wasteful number, since it uses less digits than its factorization.

131141413102309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215124.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 131141413102309 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred thirteen million, one hundred two thousand, three hundred nine".

Divisors: 1 79 199 15721 50873 163973 4018967 10123727 12953867 32630627 799774433 2577819533 8341798429 659002075891 1660017887371 131141413102309