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11331323131201 = 73173897246269
BaseRepresentation
bin1010010011100100011101…
…1111010111010101000001
31111010021010101120122012221
42210321013133113111001
52441123022210144301
640033312112051041
72246442515265133
oct244710737272501
944107111518187
1011331323131201
1136796505562a7
121330105233a81
13642701791408
142b2620745053
15149b48c00da1
hexa4e477d7541

11331323131201 has 8 divisors (see below), whose sum is σ = 11552942972520. Its totient is φ = 11111497782912.

The previous prime is 11331323131199. The next prime is 11331323131309. The reversal of 11331323131201 is 10213132313311.

It can be written as a sum of positive squares in 4 ways, for example, as 4945290887601 + 6386032243600 = 2223801^2 + 2527060^2 .

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 11331323131201 - 21 = 11331323131199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331323137201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448610506 + ... + 448635763.

It is an arithmetic number, because the mean of its divisors is an integer number (1444117871565).

Almost surely, 211331323131201 is an apocalyptic number.

It is an amenable number.

11331323131201 is a deficient number, since it is larger than the sum of its proper divisors (221619841319).

11331323131201 is an equidigital number, since it uses as much as digits as its factorization.

11331323131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897246515.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 11331323131201 its reverse (10213132313311), we get a palindrome (21544455444512).

The spelling of 11331323131201 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 73 173 12629 897246269 65498977637 155223604537 11331323131201