Search a number
-
+
11012201222112 = 253284793450943
BaseRepresentation
bin1010000000111111101001…
…0101111000111111100000
31102222202102020101222111200
42200033322111320333200
52420410442003101422
635230534014041200
72214414416644416
oct240177225707740
942882366358450
1011012201222112
113566280558752
12129a2a3aa9200
1361b5a51801cc
142a0dc9bb32b6
151416bc9262ac
hexa03fa578fe0

11012201222112 has 72 divisors (see below), whose sum is σ = 31316385993984. Its totient is φ = 3670682310144.

The previous prime is 11012201222111. The next prime is 11012201222129. The reversal of 11012201222112 is 21122210221011.

11012201222112 is a `hidden beast` number, since 110 + 1 + 220 + 1 + 222 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012201222111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24194913 + ... + 24645855.

It is an arithmetic number, because the mean of its divisors is an integer number (434949805472).

Almost surely, 211012201222112 is an apocalyptic number.

11012201222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11012201222112 is an abundant number, since it is smaller than the sum of its proper divisors (20304184771872).

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

11012201222112 is a wasteful number, since it uses less digits than its factorization.

11012201222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535752 (or 535741 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11012201222112 its reverse (21122210221011), we get a palindrome (32134411443123).

The spelling of 11012201222112 in words is "eleven trillion, twelve billion, two hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 84793 169586 254379 339172 450943 508758 678344 763137 901886 1017516 1352829 1356688 1526274 1803772 2035032 2705658 2713376 3052548 3607544 4058487 4070064 5411316 6105096 7215088 8116974 8140128 10822632 12210192 14430176 16233948 21645264 24420384 32467896 43290528 64935792 129871584 38236809799 76473619598 114710429397 152947239196 229420858794 305894478392 344131288191 458841717588 611788956784 688262576382 917683435176 1223577913568 1376525152764 1835366870352 2753050305528 3670733740704 5506100611056 11012201222112