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11221024301 = 172773177517
BaseRepresentation
bin10100111001101001…
…10011111000101101
31001222000100002120122
422130310303320231
5140440040234201
65053241254325
7545032063364
oct123464637055
931860302518
1011221024301
114838a80703
122211a943a5
13109a963366
147863a67db
1545a19ce1b
hex29cd33e2d

11221024301 has 16 divisors (see below), whose sum is σ = 11963182896. Its totient is φ = 10488247296.

The previous prime is 11221024289. The next prime is 11221024303. The reversal of 11221024301 is 10342012211.

It can be written as a sum of positive squares in 8 ways, for example, as 16801801 + 11204222500 = 4099^2 + 105850^2 .

It is a cyclic number.

It is not a de Polignac number, because 11221024301 - 210 = 11221023277 is a prime.

It is a super-2 number, since 2×112210243012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11221024301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221024303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1488995 + ... + 1496511.

It is an arithmetic number, because the mean of its divisors is an integer number (747698931).

Almost surely, 211221024301 is an apocalyptic number.

It is an amenable number.

11221024301 is a deficient number, since it is larger than the sum of its proper divisors (742158595).

11221024301 is a wasteful number, since it uses less digits than its factorization.

11221024301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128.

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

Adding to 11221024301 its reverse (10342012211), we get a palindrome (21563036512).

The spelling of 11221024301 in words is "eleven billion, two hundred twenty-one million, twenty-four thousand, three hundred one".

Divisors: 1 17 277 317 4709 5389 7517 87809 127789 1492753 2082209 2382889 35397553 40509113 660060253 11221024301