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131113223020233 = 3214568135891137
BaseRepresentation
bin11101110011111100101101…
…000101010101111011001001
3122012020022010221112002012200
4131303330231011111323021
5114141124340043121413
61142504325542430413
736421421615226426
oct3563745505257311
9565208127462180
10131113223020233
113885a89530a013
1212856755132409
135820c019b948c
142453cb1886d4d
151025850d51573
hex773f2d155ec9

131113223020233 has 6 divisors (see below), whose sum is σ = 189385766584794. Its totient is φ = 87408815346816.

The previous prime is 131113223020211. The next prime is 131113223020291. The reversal of 131113223020233 is 332020322311131.

131113223020233 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 322 + 302 + 0 + 2 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104188830387849 + 26924392632384 = 10207293^2 + 5188872^2 .

It is not a de Polignac number, because 131113223020233 - 233 = 131104633085641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131113223020197 and 131113223020206.

It is not an unprimeable number, because it can be changed into a prime (131113223024233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7284067945560 + ... + 7284067945577.

It is an arithmetic number, because the mean of its divisors is an integer number (31564294430799).

Almost surely, 2131113223020233 is an apocalyptic number.

It is an amenable number.

131113223020233 is a deficient number, since it is larger than the sum of its proper divisors (58272543564561).

131113223020233 is a wasteful number, since it uses less digits than its factorization.

131113223020233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14568135891143 (or 14568135891140 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131113223020233 its reverse (332020322311131), we get a palindrome (463133545331364).

The spelling of 131113223020233 in words is "one hundred thirty-one trillion, one hundred thirteen billion, two hundred twenty-three million, twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 14568135891137 43704407673411 131113223020233