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10001101221 = 3237205314629
BaseRepresentation
bin10010101000001110…
…01011000110100101
3221210222211120201100
421110013023012211
5130440240214341
64332222150313
7502556646336
oct112407130645
927728746640
1010001101221
1142723a7411
121b31422399
13c34cb4797
146ac36c28d
153d80293b6
hex2541cb1a5

10001101221 has 24 divisors (see below), whose sum is σ = 14844709880. Its totient is φ = 6483597696.

The previous prime is 10001101217. The next prime is 10001101237. The reversal of 10001101221 is 12210110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1921068900 + 8080032321 = 43830^2 + 89889^2 .

It is not a de Polignac number, because 10001101221 - 22 = 10001101217 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676335 + ... + 690963.

Almost surely, 210001101221 is an apocalyptic number.

It is an amenable number.

10001101221 is a deficient number, since it is larger than the sum of its proper divisors (4843608659).

10001101221 is a wasteful number, since it uses less digits than its factorization.

10001101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16725 (or 16722 counting only the distinct ones).

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

Adding to 10001101221 its reverse (12210110001), we get a palindrome (22211211222).

The spelling of 10001101221 in words is "ten billion, one million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 2053 6159 14629 18477 43887 75961 131661 227883 541273 683649 1623819 4871457 30033337 90100011 270300033 1111233469 3333700407 10001101221