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11320332400413 = 324773677541511
BaseRepresentation
bin1010010010111011100001…
…1001000011011100011101
31111002012202102120122221200
42210232320121003130131
52440433020043303123
640024253334350113
72245603250516211
oct244567031033435
944065672518850
1011320332400413
113674a20579613
121329b584bb339
1364166c760b0a
142b1c9aba8941
15149703d93143
hexa4bb864371d

11320332400413 has 48 divisors (see below), whose sum is σ = 16953293799936. Its totient is φ = 7274359422720.

The previous prime is 11320332400369. The next prime is 11320332400463. The reversal of 11320332400413 is 31400423302311.

It is a happy number.

11320332400413 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 3 + 3 + 240 + 0 + 413 = 666.

11320332400413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11320332400413 - 240 = 10220820772637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320332400463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20634328 + ... + 21175838.

It is an arithmetic number, because the mean of its divisors is an integer number (353193620832).

Almost surely, 211320332400413 is an apocalyptic number.

It is an amenable number.

11320332400413 is a deficient number, since it is larger than the sum of its proper divisors (5632961399523).

11320332400413 is a wasteful number, since it uses less digits than its factorization.

11320332400413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542314 (or 542311 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11320332400413 its reverse (31400423302311), we get a palindrome (42720755702724).

The spelling of 11320332400413 in words is "eleven trillion, three hundred twenty billion, three hundred thirty-two million, four hundred thousand, four hundred thirteen".

Divisors: 1 3 9 47 73 141 219 423 657 677 2031 3431 6093 10293 30879 31819 49421 95457 148263 286371 444789 541511 1624533 2322787 4873599 6968361 20905083 25451017 39530303 76353051 118590909 229059153 355772727 366602947 1099808841 1857924241 3299426523 5573772723 16721318169 17230338509 26762015131 51691015527 80286045393 155073046581 240858136179 1257814711157 3773444133471 11320332400413