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1202220001100 = 2252198957112451
BaseRepresentation
bin10001011111101001111…
…001010110011101001100
311020221010210000211222102
4101133221321112131030
5124144121310013400
62320143042534232
7152600063254316
oct21375171263514
94227123024872
101202220001100
11423949937848
12174bb9067378
13894a4500121
144228b2d07b6
1521414a589d5
hex117e9e5674c

1202220001100 has 144 divisors (see below), whose sum is σ = 2782065686400. Its totient is φ = 449634240000.

The previous prime is 1202220001097. The next prime is 1202220001181. The reversal of 1202220001100 is 11000222021.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 96549875 + ... + 96562325.

It is an arithmetic number, because the mean of its divisors is an integer number (19319900600).

Almost surely, 21202220001100 is an apocalyptic number.

1202220001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202220001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391032843200).

1202220001100 is an abundant number, since it is smaller than the sum of its proper divisors (1579845685300).

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

1202220001100 is a wasteful number, since it uses less digits than its factorization.

1202220001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13144 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1202220001100 its reverse (11000222021), we get a palindrome (1213220223121).

The spelling of 1202220001100 in words is "one trillion, two hundred two billion, two hundred twenty million, one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 178 190 356 380 445 475 571 890 950 1142 1691 1780 1900 2225 2284 2855 3382 4450 5710 6764 8455 8900 10849 11420 12451 14275 16910 21698 24902 28550 33820 42275 43396 49804 50819 54245 57100 62255 84550 101638 108490 124510 169100 203276 216980 236569 249020 254095 271225 311275 473138 508190 542450 622550 946276 965561 1016380 1084900 1108139 1182845 1245100 1270475 1931122 2216278 2365690 2540950 3862244 4432556 4731380 4827805 5081900 5540695 5914225 7109521 9655610 11081390 11828450 14219042 19311220 21054641 22162780 23656900 24139025 27703475 28438084 35547605 42109282 48278050 55406950 71095210 84218564 96556100 105273205 110813900 135080899 142190420 177738025 210546410 270161798 355476050 421092820 526366025 540323596 632747369 675404495 710952100 1052732050 1265494738 1350808990 2105464100 2530989476 2701617980 3163736845 3377022475 6327473690 6754044950 12022200011 12654947380 13508089900 15818684225 24044400022 31637368450 48088800044 60111000055 63274736900 120222000110 240444000220 300555000275 601110000550 1202220001100