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11012122202100 = 22352355910313873
BaseRepresentation
bin1010000000111111010110…
…1000011100111111110100
31102222202012201201100102120
42200033311220130333310
52420410311240431400
635230522112235540
72214412440202365
oct240176550347764
942882181640376
1011012122202100
11356623a996858
12129a28153bbb0
1361b5919a3bc6
142a0dbd4c3b6c
151416b5a17ca0
hexa03f5a1cff4

11012122202100 has 72 divisors (see below), whose sum is σ = 31870695769920. Its totient is φ = 2935740526080.

The previous prime is 11012122202099. The next prime is 11012122202111. The reversal of 11012122202100 is 120222121011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11012122202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4089237 + ... + 6224636.

It is an arithmetic number, because the mean of its divisors is an integer number (442648552360).

Almost surely, 211012122202100 is an apocalyptic number.

11012122202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012122202100 is an abundant number, since it is smaller than the sum of its proper divisors (20858573567820).

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

11012122202100 is a wasteful number, since it uses less digits than its factorization.

11012122202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10317449 (or 10317442 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11012122202100 its reverse (120222121011), we get a palindrome (11132344323111).

The spelling of 11012122202100 in words is "eleven trillion, twelve billion, one hundred twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3559 7118 10677 14236 17795 21354 35590 42708 53385 71180 88975 106770 177950 213540 266925 355900 533850 1067700 10313873 20627746 30941619 41255492 51569365 61883238 103138730 123766476 154708095 206277460 257846825 309416190 515693650 618832380 773540475 1031387300 1547080950 3094161900 36707074007 73414148014 110121222021 146828296028 183535370035 220242444042 367070740070 440484888084 550606110105 734141480140 917676850175 1101212220210 1835353700350 2202424440420 2753030550525 3670707400700 5506061101050 11012122202100