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111341104344100 = 22521938893648709
BaseRepresentation
bin11001010100001110011110…
…111110010010110000100100
3112121020002211222222021011001
4121110032132332102300210
5104043203040203002400
61032445221444123044
732311062234410161
oct3124163676226044
9477202758867131
10111341104344100
11325275518224a4
12105a279a696484
134a185621901a7
141d6cd1c607068
15cd1387062a6a
hex65439ef92c24

111341104344100 has 72 divisors (see below), whose sum is σ = 242889746500520. Its totient is φ = 44300632596480.

The previous prime is 111341104343993. The next prime is 111341104344131. The reversal of 111341104344100 is 1443401143111.

It can be written as a sum of positive squares in 12 ways, for example, as 85651026886656 + 25690077457444 = 9254784^2 + 5068538^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171310546 + ... + 171959254.

Almost surely, 2111341104344100 is an apocalyptic number.

111341104344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111341104344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121444873250260).

111341104344100 is an abundant number, since it is smaller than the sum of its proper divisors (131548642156420).

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

111341104344100 is a wasteful number, since it uses less digits than its factorization.

111341104344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657809 (or 657802 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 111341104344100 its reverse (1443401143111), we get a palindrome (112784505487211).

The spelling of 111341104344100 in words is "one hundred eleven trillion, three hundred forty-one billion, one hundred four million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 3860 4825 8893 9650 17786 19300 35572 44465 88930 177860 222325 444650 648709 889300 1297418 1716349 2594836 3243545 3432698 6487090 6865396 8581745 12974180 16217725 17163490 32435450 34326980 42908725 64870900 85817450 125200837 171634900 250401674 500803348 626004185 1252008370 2504016740 3130020925 5768969137 6260041850 11537938274 12520083700 23075876548 28844845685 57689691370 115379382740 144224228425 288448456850 576896913700 1113411043441 2226822086882 4453644173764 5567055217205 11134110434410 22268220868820 27835276086025 55670552172050 111341104344100