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1100101221 = 321093111833
BaseRepresentation
bin100000110010010…
…0011011001100101
32211200000221011200
41001210203121211
54223111214341
6301054553113
736155464122
oct10144433145
92750027150
101100101221
11514a8436a
12268508799
13146bb7a8b
14a6167749
15668a5db6
hex41923665

1100101221 has 12 divisors (see below), whose sum is σ = 1590503148. Its totient is φ = 732723264.

The previous prime is 1100101199. The next prime is 1100101271. The reversal of 1100101221 is 1221010011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 780084900 + 320016321 = 27930^2 + 17889^2 .

It is not a de Polignac number, because 1100101221 - 26 = 1100101157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101271) 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 11 ways as a sum of consecutive naturals, for example, 46080 + ... + 65753.

It is an arithmetic number, because the mean of its divisors is an integer number (132541929).

Almost surely, 21100101221 is an apocalyptic number.

It is an amenable number.

1100101221 is a deficient number, since it is larger than the sum of its proper divisors (490401927).

1100101221 is a wasteful number, since it uses less digits than its factorization.

1100101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112932 (or 112929 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100101221 is about 33167.7738324416. The cubic root of 1100101221 is about 1032.3117776445.

Adding to 1100101221 its reverse (1221010011), we get a palindrome (2321111232).

The spelling of 1100101221 in words is "one billion, one hundred million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 1093 3279 9837 111833 335499 1006497 122233469 366700407 1100101221