Search a number
-
+
111001010010100 = 22527222653267349
BaseRepresentation
bin11001001111010001101111…
…110001010111011111110100
3112120000121000020111000222121
4121033101233301113133310
5104022120032030310400
61032025054322205324
732244362335310500
oct3117215761273764
9476017006430877
10111001010010100
113240629a3a6681
12105488a57b3844
1349c24728a04c2
141d5a69857d300
15cc75ce98621a
hex64f46fc577f4

111001010010100 has 54 divisors (see below), whose sum is σ = 280198263852150. Its totient is φ = 38057489144640.

The previous prime is 111001010010089. The next prime is 111001010010101. The reversal of 111001010010100 is 1010010100111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 134809402896 + 110866200607204 = 367164^2 + 10529302^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001010010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11326628775 + ... + 11326638574.

Almost surely, 2111001010010100 is an apocalyptic number.

111001010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001010010100 is an abundant number, since it is smaller than the sum of its proper divisors (169197253842050).

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

111001010010100 is a wasteful number, since it uses less digits than its factorization.

111001010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22653267377 (or 22653267363 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111001010010100 its reverse (1010010100111), we get a palindrome (112011020110211).

The spelling of 111001010010100 in words is "one hundred eleven trillion, one billion, ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 22653267349 45306534698 90613069396 113266336745 158572871443 226532673490 317145742886 453065346980 566331683725 634291485772 792864357215 1110010100101 1132663367450 1585728714430 2220020200202 2265326734900 3171457428860 3964321786075 4440040400404 5550050500505 7928643572150 11100101001010 15857287144300 22200202002020 27750252502525 55500505005050 111001010010100