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131141101134411 = 3427122441266221
BaseRepresentation
bin11101110100010110101010…
…101111111010001001001011
3122012022222002211010000110000
4131310112222233322021023
5114142103433342300121
61142525220135254043
736423426511256304
oct3564265257721113
9565288084100400
10131141101134411
11388706a08268a5
121286003551a323
13582372559cb24
1424553981897ab
15102643353d526
hex7745aabfa24b

131141101134411 has 40 divisors (see below), whose sum is σ = 196634525329088. Its totient is φ = 87100581744000.

The previous prime is 131141101134409. The next prime is 131141101134413. The reversal of 131141101134411 is 114431101141131.

131141101134411 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 110 + 1 + 134 + 411 = 666.

It is an interprime number because it is at equal distance from previous prime (131141101134409) and next prime (131141101134413).

It is not a de Polignac number, because 131141101134411 - 21 = 131141101134409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131141101134413) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492469281 + ... + 492735501.

Almost surely, 2131141101134411 is an apocalyptic number.

131141101134411 is a deficient number, since it is larger than the sum of its proper divisors (65493424194677).

131141101134411 is a wasteful number, since it uses less digits than its factorization.

131141101134411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288945 (or 288936 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 131141101134411 its reverse (114431101141131), we get a palindrome (245572202275542).

The spelling of 131141101134411 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred one million, one hundred thirty-four thousand, four hundred eleven".

Divisors: 1 3 9 27 81 271 813 2439 7317 21951 22441 67323 201969 266221 605907 798663 1817721 2395989 6081511 7187967 18244533 21563901 54733599 72145891 164200797 216437673 492602391 649313019 1947939057 5843817171 5974265461 17922796383 53768389149 161305167447 483915502341 1619025939931 4857077819793 14571233459379 43713700378137 131141101134411