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100223431341 = 311219731371453
BaseRepresentation
bin101110101010111001…
…0000011001010101101
3100120200202001211102120
41131111302003022231
53120224144300331
6114013023543153
710145426052555
oct1352562031255
9316622054376
10100223431341
1139560572400
121751075aab9
1395b2babc37
144bca9c2165
152918b71796
hex1755c832ad

100223431341 has 96 divisors (see below), whose sum is σ = 157985358720. Its totient is φ = 56303216640.

The previous prime is 100223431333. The next prime is 100223431387. The reversal of 100223431341 is 143134322001.

It is a happy number.

It is not a de Polignac number, because 100223431341 - 23 = 100223431333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223431391) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 68976171 + ... + 68977623.

It is an arithmetic number, because the mean of its divisors is an integer number (1645680820).

Almost surely, 2100223431341 is an apocalyptic number.

100223431341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100223431341 is a deficient number, since it is larger than the sum of its proper divisors (57761927379).

100223431341 is a wasteful number, since it uses less digits than its factorization.

100223431341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100223431341 its reverse (143134322001), we get a palindrome (243357753342).

The spelling of 100223431341 in words is "one hundred billion, two hundred twenty-three million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 11 19 33 57 73 121 137 209 219 363 411 627 803 1387 1453 1507 2299 2409 2603 4161 4359 4521 6897 7809 8833 10001 15257 15983 16577 26499 27607 28633 30003 45771 47949 49731 82821 85899 106069 110011 167827 175813 190019 199061 303677 314963 318207 330033 503481 527439 570057 597183 911031 944889 1166759 1210121 2015311 2090209 2189671 3340447 3500277 3630363 3782159 6045933 6270627 6569013 10021341 11346477 12834349 14531453 22168421 22992299 24086381 38503047 41603749 43594359 66505263 68976897 72259143 124811247 159845983 243852631 276097607 457641239 479537949 731557893 828292821 1372923717 1758305813 3037073677 5274917439 9111221031 33407810447 100223431341