Search a number
-
+
11304542401 = 37331392221
BaseRepresentation
bin10101000011100110…
…11010000011000001
31002011211111020212121
422201303122003001
5141122430324101
65105423324241
7550065011365
oct124163320301
932154436777
1011304542401
114881135029
122235a50681
1310b2055b59
147935072a5
154626990a1
hex2a1cda0c1

11304542401 has 8 divisors (see below), whose sum is σ = 11613700904. Its totient is φ = 10995575040.

The previous prime is 11304542399. The next prime is 11304542407. The reversal of 11304542401 is 10424540311.

It can be written as a sum of positive squares in 4 ways, for example, as 5713092225 + 5591450176 = 75585^2 + 74776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11304542401 - 21 = 11304542399 is a prime.

It is a super-3 number, since 3×113045424013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11304542407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76471 + ... + 168691.

It is an arithmetic number, because the mean of its divisors is an integer number (1451712613).

Almost surely, 211304542401 is an apocalyptic number.

It is an amenable number.

11304542401 is a deficient number, since it is larger than the sum of its proper divisors (309158503).

11304542401 is an equidigital number, since it uses as much as digits as its factorization.

11304542401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95571.

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 11304542401 in words is "eleven billion, three hundred four million, five hundred forty-two thousand, four hundred one".

Divisors: 1 37 3313 92221 122581 3412177 305528173 11304542401