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100221030313 = 2928729120293
BaseRepresentation
bin101110101010110100…
…0111000111110101001
3100120200120112211211121
41131111220320332221
53120223040432223
6114012500255241
710145366462515
oct1352550707651
9316616484747
10100221030313
113955a182488
121750b9a1521
1395b254b101
144bca559145
15291884a15d
hex1755a38fa9

100221030313 has 8 divisors (see below), whose sum is σ = 103681398600. Its totient is φ = 96760960128.

The previous prime is 100221030281. The next prime is 100221030337. The reversal of 100221030313 is 313030122001.

It can be written as a sum of positive squares in 4 ways, for example, as 22467611664 + 77753418649 = 149892^2 + 278843^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100221030313 - 25 = 100221030281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221030113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772995 + ... + 893287.

It is an arithmetic number, because the mean of its divisors is an integer number (12960174825).

Almost surely, 2100221030313 is an apocalyptic number.

It is an amenable number.

100221030313 is a deficient number, since it is larger than the sum of its proper divisors (3460368287).

100221030313 is a wasteful number, since it uses less digits than its factorization.

100221030313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149051.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100221030313 its reverse (313030122001), we get a palindrome (413251152314).

The spelling of 100221030313 in words is "one hundred billion, two hundred twenty-one million, thirty thousand, three hundred thirteen".

Divisors: 1 29 28729 120293 833141 3488497 3455897597 100221030313