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100222320101 = 322148016481
BaseRepresentation
bin101110101010110110…
…1110011110111100101
3100120200122222101002112
41131111231303313211
53120223403220401
6114012544050405
710145413444031
oct1352555636745
9316618871075
10100222320101
113955a983522
1217510303a05
1395b28b01b7
144bca7b31c1
152918a023bb
hex1755b73de5

100222320101 has 8 divisors (see below), whose sum is σ = 100289789208. Its totient is φ = 100154880000.

The previous prime is 100222320091. The next prime is 100222320103. The reversal of 100222320101 is 101023222001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57144902500 + 43077417601 = 239050^2 + 207551^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100222320101 - 210 = 100222319077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222320103) 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, 15460781 + ... + 15467261.

It is an arithmetic number, because the mean of its divisors is an integer number (12536223651).

Almost surely, 2100222320101 is an apocalyptic number.

It is an amenable number.

100222320101 is a deficient number, since it is larger than the sum of its proper divisors (67469107).

100222320101 is an equidigital number, since it uses as much as digits as its factorization.

100222320101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14503.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100222320101 its reverse (101023222001), we get a palindrome (201245542102).

The spelling of 100222320101 in words is "one hundred billion, two hundred twenty-two million, three hundred twenty thousand, one hundred one".

Divisors: 1 3221 4801 6481 15464021 20875301 31115281 100222320101