Search a number
-
+
11202101101020 = 2235732557557329
BaseRepresentation
bin1010001100000011000101…
…0000011100000111011100
31110122220120200112100120010
42203000301100130013130
52432013400340213040
635454101343323220
72234216336201304
oct243006120340734
943586520470503
1011202101101020
11362986a040435
12130b060bb0510
13633479b2826b
142aa28270c604
151465d4311e80
hexa303141c1dc

11202101101020 has 48 divisors (see below), whose sum is σ = 31795552726560. Its totient is φ = 2946306041856.

The previous prime is 11202101100991. The next prime is 11202101101109. The reversal of 11202101101020 is 2010110120211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11202101100987 and 11202101101005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278774285 + ... + 1278783044.

It is an arithmetic number, because the mean of its divisors is an integer number (662407348470).

Almost surely, 211202101101020 is an apocalyptic number.

11202101101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202101101020 is an abundant number, since it is smaller than the sum of its proper divisors (20593451625540).

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

11202101101020 is a wasteful number, since it uses less digits than its factorization.

11202101101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557557414 (or 2557557412 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11202101101020 its reverse (2010110120211), we get a palindrome (13212211221231).

The spelling of 11202101101020 in words is "eleven trillion, two hundred two billion, one hundred one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 2557557329 5115114658 7672671987 10230229316 12787786645 15345343974 25575573290 30690687948 38363359935 51151146580 76726719870 153453439740 186701685017 373403370034 560105055051 746806740068 933508425085 1120210110102 1867016850170 2240420220204 2800525275255 3734033700340 5601050550510 11202101101020