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101110000221 = 33191579124823
BaseRepresentation
bin101111000101010100…
…0000010101001011101
3100122222112022012022000
41132022220002221131
53124033130001341
6114241014112513
710206412551516
oct1361250025135
9318875265260
10101110000221
1139975a6075a
121771964b739
1396c47820c9
144c72643a0d
15296b8e88b6
hex178aa02a5d

101110000221 has 32 divisors (see below), whose sum is σ = 157777536000. Its totient is φ = 63817993584.

The previous prime is 101110000213. The next prime is 101110000223. The reversal of 101110000221 is 122000011101.

It is a happy number.

It is not a de Polignac number, because 101110000221 - 23 = 101110000213 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747616 + ... + 872438.

It is an arithmetic number, because the mean of its divisors is an integer number (4930548000).

Almost surely, 2101110000221 is an apocalyptic number.

It is an amenable number.

101110000221 is a deficient number, since it is larger than the sum of its proper divisors (56667535779).

101110000221 is a wasteful number, since it uses less digits than its factorization.

101110000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126430 (or 126424 counting only the distinct ones).

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

Adding to 101110000221 its reverse (122000011101), we get a palindrome (223110011322).

The spelling of 101110000221 in words is "one hundred one billion, one hundred ten million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 19 27 57 171 513 1579 4737 14211 30001 42633 90003 124823 270009 374469 810027 1123407 2371637 3370221 7114911 21344733 64034199 197095517 591286551 1773859653 3744814823 5321578959 11234444469 33703333407 101110000221