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11312224001 = 131137700629
BaseRepresentation
bin10101000100100001…
…01101011100000001
31002012100221112001022
422202100231130001
5141131412132001
65110300115225
7550220213621
oct124220553401
932170845038
1011312224001
114885501361
122238535b15
1310b3815390
14794546881
154631b511b
hex2a242d701

11312224001 has 8 divisors (see below), whose sum is σ = 12290205480. Its totient is φ = 10349644032.

The previous prime is 11312223991. The next prime is 11312224069. The reversal of 11312224001 is 10042221311.

It can be written as a sum of positive squares in 4 ways, for example, as 765960976 + 10546263025 = 27676^2 + 102695^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-11312224001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11312224081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3848846 + ... + 3851783.

It is an arithmetic number, because the mean of its divisors is an integer number (1536275685).

Almost surely, 211312224001 is an apocalyptic number.

It is an amenable number.

11312224001 is a deficient number, since it is larger than the sum of its proper divisors (977981479).

11312224001 is a wasteful number, since it uses less digits than its factorization.

11312224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700755.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11312224001 its reverse (10042221311), we get a palindrome (21354445312).

The spelling of 11312224001 in words is "eleven billion, three hundred twelve million, two hundred twenty-four thousand, one".

Divisors: 1 13 113 1469 7700629 100108177 870171077 11312224001