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11220333322231 = 1131101325784191
BaseRepresentation
bin1010001101000110111111…
…1110110101111111110111
31110201122122022200011012101
42203101233332311333313
52432313220312302411
635510314443202531
72235433214420215
oct243215776657767
943648568604171
1011220333322231
113636575713050
1213126aab16447
136350c41b4b37
142ab0d1d07cb5
15146ceec8b8c1
hexa346ffb5ff7

11220333322231 has 16 divisors (see below), whose sum is σ = 12760315232256. Its totient is φ = 9773525700000.

The previous prime is 11220333322223. The next prime is 11220333322243. The reversal of 11220333322231 is 13222333302211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11220333322231 - 23 = 11220333322223 is a prime.

It is a super-2 number, since 2×112203333222312 (a number of 27 digits) contains 22 as substring.

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 11220333322231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220333322201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162857655 + ... + 162926536.

It is an arithmetic number, because the mean of its divisors is an integer number (797519702016).

Almost surely, 211220333322231 is an apocalyptic number.

11220333322231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11220333322231 is a deficient number, since it is larger than the sum of its proper divisors (1539981910025).

11220333322231 is a wasteful number, since it uses less digits than its factorization.

11220333322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325784334.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 11220333322231 its reverse (13222333302211), we get a palindrome (24442666624442).

The spelling of 11220333322231 in words is "eleven trillion, two hundred twenty billion, three hundred thirty-three million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 31 101 341 1111 3131 34441 325784191 3583626101 10099309921 32904203291 111092409131 361946236201 1020030302021 11220333322231