Search a number
-
+
1100401221 = 310319718077
BaseRepresentation
bin100000110010110…
…1100101001000101
32211200121011200210
41001211230221011
54223200314341
6301105230033
736161153553
oct10145545105
92750534623
101100401221
115151697a7
12268632319
13146c914aa
14a6204bd3
1566914c16
hex4196ca45

1100401221 has 16 divisors (see below), whose sum is σ = 1489048704. Its totient is φ = 722750784.

The previous prime is 1100401219. The next prime is 1100401231. The reversal of 1100401221 is 1221040011.

It is a happy number.

It is not a de Polignac number, because 1100401221 - 21 = 1100401219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100401197 and 1100401206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100401231) 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 15 ways as a sum of consecutive naturals, for example, 51835 + ... + 69911.

It is an arithmetic number, because the mean of its divisors is an integer number (93065544).

Almost surely, 21100401221 is an apocalyptic number.

It is an amenable number.

1100401221 is a deficient number, since it is larger than the sum of its proper divisors (388647483).

1100401221 is a wasteful number, since it uses less digits than its factorization.

1100401221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1100401221 is about 33172.2959862594. The cubic root of 1100401221 is about 1032.4056070062.

Adding to 1100401221 its reverse (1221040011), we get a palindrome (2321441232).

The spelling of 1100401221 in words is "one billion, one hundred million, four hundred one thousand, two hundred twenty-one".

Divisors: 1 3 103 197 309 591 18077 20291 54231 60873 1861931 3561169 5585793 10683507 366800407 1100401221