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101322310301 = 294122078449
BaseRepresentation
bin101111001011101000…
…1111100001010011101
3100200112022210122222022
41132113101330022131
53130002002412201
6114314040425525
710214601266402
oct1362721741235
9320468718868
10101322310301
1139a74891433
12177787782a5
139729759584
144c9290c2a9
15298038541b
hex179747c29d

101322310301 has 12 divisors (see below), whose sum is σ = 107435080500. Its totient is φ = 95442332160.

The previous prime is 101322310267. The next prime is 101322310321. The reversal of 101322310301 is 103013223101.

It can be written as a sum of positive squares in 6 ways, for example, as 21629584900 + 79692725401 = 147070^2 + 282299^2 .

It is not a de Polignac number, because 101322310301 - 26 = 101322310237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101322310301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322310321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 990476 + ... + 1087973.

It is an arithmetic number, because the mean of its divisors is an integer number (8952923375).

Almost surely, 2101322310301 is an apocalyptic number.

It is an amenable number.

101322310301 is a deficient number, since it is larger than the sum of its proper divisors (6112770199).

101322310301 is an equidigital number, since it uses as much as digits as its factorization.

101322310301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078560 (or 2078519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101322310301 its reverse (103013223101), we get a palindrome (204335533402).

The spelling of 101322310301 in words is "one hundred one billion, three hundred twenty-two million, three hundred ten thousand, three hundred one".

Divisors: 1 29 41 1189 1681 48749 2078449 60275021 85216409 2471275861 3493872769 101322310301