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101342430300 = 223521672022803
BaseRepresentation
bin101111001100001111…
…0101100010001011100
3100200120201122212102110
41132120132230101130
53130022130232200
6114320035554020
710215234305316
oct1363036542134
9320521585373
10101342430300
1139a85183931
121778345b910
1397309824b7
144c954687b6
15298200bb50
hex17987ac45c

101342430300 has 72 divisors (see below), whose sum is σ = 294973370496. Its totient is φ = 26862810560.

The previous prime is 101342430281. The next prime is 101342430323. The reversal of 101342430300 is 3034243101.

101342430300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013424303002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961302 + ... + 1061501.

It is an arithmetic number, because the mean of its divisors is an integer number (4096852368).

Almost surely, 2101342430300 is an apocalyptic number.

101342430300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101342430300 is an abundant number, since it is smaller than the sum of its proper divisors (193630940196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101342430300 is a wasteful number, since it uses less digits than its factorization.

101342430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022987 (or 2022980 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 101342430300 its reverse (3034243101), we get a palindrome (104376673401).

The spelling of 101342430300 in words is "one hundred one billion, three hundred forty-two million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 2004 2505 3340 4175 5010 8350 10020 12525 16700 25050 50100 2022803 4045606 6068409 8091212 10114015 12136818 20228030 24273636 30342045 40456060 50570075 60684090 101140150 121368180 151710225 202280300 303420450 337808101 606840900 675616202 1013424303 1351232404 1689040505 2026848606 3378081010 4053697212 5067121515 6756162020 8445202525 10134243030 16890405050 20268486060 25335607575 33780810100 50671215150 101342430300