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201100222101100 = 225271931488528661
BaseRepresentation
bin101101101110011001001011…
…010011010111011001101100
3222101000222211020121201201211
4231232121023103113121230
5202324311223324213400
61551412055555244204
760234003655006240
oct5556311323273154
9871028736551654
10201100222101100
1159093141782173
121a67a6a15a9664
13882989208c00a
1437934347c4420
15183b1292b2dba
hexb6e64b4d766c

201100222101100 has 72 divisors (see below), whose sum is σ = 501312636903008. Its totient is φ = 68591400652800.

The previous prime is 201100222101089. The next prime is 201100222101113. The reversal of 201100222101100 is 1101222001102.

It is a super-2 number, since 2×2011002221011002 (a number of 29 digits) contains 22 as substring.

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, 744129231 + ... + 744399430.

Almost surely, 2201100222101100 is an apocalyptic number.

201100222101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100222101100 is an abundant number, since it is smaller than the sum of its proper divisors (300212414801908).

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

201100222101100 is a wasteful number, since it uses less digits than its factorization.

201100222101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488528875 (or 1488528868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201100222101100 its reverse (1101222001102), we get a palindrome (202201444102202).

The spelling of 201100222101100 in words is "two hundred one trillion, one hundred billion, two hundred twenty-two million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 193 350 386 700 772 965 1351 1930 2702 3860 4825 5404 6755 9650 13510 19300 27020 33775 67550 135100 1488528661 2977057322 5954114644 7442643305 10419700627 14885286610 20839401254 29770573220 37213216525 41678802508 52098503135 74426433050 104197006270 148852866100 208394012540 260492515675 287286031573 520985031350 574572063146 1041970062700 1149144126292 1436430157865 2011002221011 2872860315730 4022004442022 5745720631460 7182150789325 8044008884044 10055011105055 14364301578650 20110022210110 28728603157300 40220044420220 50275055525275 100550111050550 201100222101100