Search a number
-
+
20111311311 = 3713198834391
BaseRepresentation
bin10010101110101110…
…100100000111001111
31220220120222110122220
4102232232210013033
5312141443430221
613123343110423
71311243216450
oct225656440717
956816873586
1020111311311
118590346943
123a932a2413
131b8677bb10
14d8adbd127
157ca9070c6
hex4aeba41cf

20111311311 has 64 divisors (see below), whose sum is σ = 34787450880. Its totient is φ = 10036172160.

The previous prime is 20111311309. The next prime is 20111311313. The reversal of 20111311311 is 11311311102.

It is an interprime number because it is at equal distance from previous prime (20111311309) and next prime (20111311313).

It is not a de Polignac number, because 20111311311 - 21 = 20111311309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111311313) 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 63 ways as a sum of consecutive naturals, for example, 4577926 + ... + 4582316.

It is an arithmetic number, because the mean of its divisors is an integer number (543553920).

Almost surely, 220111311311 is an apocalyptic number.

20111311311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20111311311 is a deficient number, since it is larger than the sum of its proper divisors (14676139569).

20111311311 is a wasteful number, since it uses less digits than its factorization.

20111311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 20111311311 its reverse (11311311102), we get a palindrome (31422622413).

The spelling of 20111311311 in words is "twenty billion, one hundred eleven million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 883 1729 2649 4391 5187 6181 11479 13173 16777 18543 30737 34437 50331 57083 80353 83429 92211 117439 171249 218101 241059 250287 352317 399581 584003 654303 1084577 1198743 1526707 1752009 3253731 3877253 4580121 7592039 11631759 22776117 27140771 50404289 73667807 81422313 151212867 221003421 352830023 515674649 957681491 1058490069 1547023947 2873044473 6703770437 20111311311