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131105203404 = 22372222968033
BaseRepresentation
bin111101000011001111…
…0101010010011001100
3110112101221120101200020
41322012132222103030
54122000413002104
6140121235302140
712320623561500
oct1720636522314
9415357511606
10131105203404
115066851887a
12214aaa4a950
13c494b57a46
1464ba1a0300
153624dc62d9
hex1e867aa4cc

131105203404 has 36 divisors (see below), whose sum is σ = 355856982264. Its totient is φ = 37458629376.

The previous prime is 131105203391. The next prime is 131105203409. The reversal of 131105203404 is 404302501131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131105203409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 111483429 + ... + 111484604.

It is an arithmetic number, because the mean of its divisors is an integer number (9884916174).

Almost surely, 2131105203404 is an apocalyptic number.

131105203404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131105203404 is an abundant number, since it is smaller than the sum of its proper divisors (224751778860).

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

131105203404 is a wasteful number, since it uses less digits than its factorization.

131105203404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222968054 (or 222968045 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 131105203404 its reverse (404302501131), we get a palindrome (535407704535).

The spelling of 131105203404 in words is "one hundred thirty-one billion, one hundred five million, two hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 222968033 445936066 668904099 891872132 1337808198 1560776231 2675616396 3121552462 4682328693 6243104924 9364657386 10925433617 18729314772 21850867234 32776300851 43701734468 65552601702 131105203404