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232313204133 = 32226691138673
BaseRepresentation
bin1101100001011011110…
…0100010110110100101
3211012122022021112101200
43120112330202312211
512301234140013013
6254420114113113
722532636440143
oct3302674426645
9735568245350
10232313204133
118a58382478a
123903527b799
1318ba3a004ca
14b35b834593
15609a1cbe73
hex3616f22da5

232313204133 has 12 divisors (see below), whose sum is σ = 335578614540. Its totient is φ = 154868501376.

The previous prime is 232313204131. The next prime is 232313204243. The reversal of 232313204133 is 331402313232.

232313204133 is a `hidden beast` number, since 2 + 323 + 1 + 3 + 204 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113176397889 + 119136806244 = 336417^2 + 345162^2 .

It is not a de Polignac number, because 232313204133 - 21 = 232313204131 is a prime.

It is a super-4 number, since 4×2323132041334 (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232313204097 and 232313204106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232313204131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365316 + ... + 773357.

It is an arithmetic number, because the mean of its divisors is an integer number (27964884545).

Almost surely, 2232313204133 is an apocalyptic number.

It is an amenable number.

232313204133 is a deficient number, since it is larger than the sum of its proper divisors (103265410407).

232313204133 is a wasteful number, since it uses less digits than its factorization.

232313204133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161348 (or 1161345 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232313204133 its reverse (331402313232), we get a palindrome (563715517365).

The spelling of 232313204133 in words is "two hundred thirty-two billion, three hundred thirteen million, two hundred four thousand, one hundred thirty-three".

Divisors: 1 3 9 22669 68007 204021 1138673 3416019 10248057 25812578237 77437734711 232313204133