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221032121241 = 31918012153113
BaseRepresentation
bin1100110111011010001…
…0101000001110011001
3210010112002221010220210
43031312202220032121
512110133210334431
6245312445241333
721653245013511
oct3156642501631
9703462833823
10221032121241
1185814963188
1236a07263249
1317ac679c629
14a9ab4b6841
155b39b18d46
hex33768a8399

221032121241 has 16 divisors (see below), whose sum is σ = 310392914240. Its totient is φ = 139521657600.

The previous prime is 221032121173. The next prime is 221032121263. The reversal of 221032121241 is 142121230122.

It is a happy number.

221032121241 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 221032121241 - 211 = 221032119193 is a prime.

It is a super-2 number, since 2×2210321212412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221032126241) 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, 973900 + ... + 1179213.

It is an arithmetic number, because the mean of its divisors is an integer number (19399557140).

Almost surely, 2221032121241 is an apocalyptic number.

It is an amenable number.

221032121241 is a deficient number, since it is larger than the sum of its proper divisors (89360792999).

221032121241 is a wasteful number, since it uses less digits than its factorization.

221032121241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154936.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 221032121241 its reverse (142121230122), we get a palindrome (363153351363).

The spelling of 221032121241 in words is "two hundred twenty-one billion, thirty-two million, one hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 19 57 1801 5403 34219 102657 2153113 6459339 40909147 122727441 3877756513 11633269539 73677373747 221032121241