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11431136375247 = 3181251269311791
BaseRepresentation
bin1010011001011000010011…
…0100101011000111001111
31111110210202112210210110110
42212112010310223013033
52444241431403001442
640151220324211103
72256605133666501
oct246260464530717
944423675723413
1011431136375247
113707a10524936
121347520539a93
1364bc4a6a2b74
142b73aca6dd71
1514c53b84a69c
hexa6584d2b1cf

11431136375247 has 32 divisors (see below), whose sum is σ = 15444030551040. Its totient is φ = 7520374800000.

The previous prime is 11431136375221. The next prime is 11431136375249. The reversal of 11431136375247 is 74257363113411.

It is a happy number.

11431136375247 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 11431136375247 - 216 = 11431136309711 is a prime.

It is a super-2 number, since 2×114311363752472 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11431136375196 and 11431136375205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431136375249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36506922 + ... + 36818712.

It is an arithmetic number, because the mean of its divisors is an integer number (482625954720).

Almost surely, 211431136375247 is an apocalyptic number.

11431136375247 is a deficient number, since it is larger than the sum of its proper divisors (4012894175793).

11431136375247 is a wasteful number, since it uses less digits than its factorization.

11431136375247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312495.

The product of its digits is 1270080, while the sum is 48.

Adding to 11431136375247 its reverse (74257363113411), we get a palindrome (85688499488658).

The spelling of 11431136375247 in words is "eleven trillion, four hundred thirty-one billion, one hundred thirty-six million, three hundred seventy-five thousand, two hundred forty-seven".

Divisors: 1 3 181 251 269 543 753 807 45431 48689 67519 136293 146067 202557 311791 935373 12220939 36662817 56434171 78259541 83871779 169302513 234778623 251615337 14164976921 15180791999 21051816529 42494930763 45542375997 63155449587 3810378791749 11431136375247