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21000202211100 = 22352776113140731
BaseRepresentation
bin1001100011001011111011…
…00101111100111100011100
32202100121012012101022121210
410301211331211330330130
510223031403231223400
6112355205410424420
74265133405364440
oct461457545747434
982317165338553
1021000202211100
116767154746142
122431b91292110
13b9440642c0c8
145285b54a0820
152663e4241950
hex13197d97cf1c

21000202211100 has 144 divisors (see below), whose sum is σ = 69531923172096. Its totient is φ = 4793738304000.

The previous prime is 21000202211029. The next prime is 21000202211117. The reversal of 21000202211100 is 111220200012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4972266 + ... + 8168465.

It is an arithmetic number, because the mean of its divisors is an integer number (482860577584).

Almost surely, 221000202211100 is an apocalyptic number.

21000202211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000202211100 is an abundant number, since it is smaller than the sum of its proper divisors (48531720960996).

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

21000202211100 is a wasteful number, since it uses less digits than its factorization.

21000202211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13141516 (or 13141509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21000202211100 its reverse (111220200012), we get a palindrome (21111422411112).

The spelling of 21000202211100 in words is "twenty-one trillion, two hundred two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 761 1050 1522 2100 2283 3044 3805 4566 5327 7610 9132 10654 11415 15220 15981 19025 21308 22830 26635 31962 38050 45660 53270 57075 63924 76100 79905 106540 114150 133175 159810 228300 266350 319620 399525 532700 799050 1598100 13140731 26281462 39422193 52562924 65703655 78844386 91985117 131407310 157688772 183970234 197110965 262814620 275955351 328518275 367940468 394221930 459925585 551910702 657036550 788443860 919851170 985554825 1103821404 1314073100 1379776755 1839702340 1971109650 2299627925 2759553510 3942219300 4599255850 5519107020 6898883775 9198511700 10000096291 13797767550 20000192582 27595535100 30000288873 40000385164 50000481455 60000577746 70000674037 100000962910 120001155492 140001348074 150001444365 200001925820 210002022111 250002407275 280002696148 300002888730 350003370185 420004044222 500004814550 600005777460 700006740370 750007221825 840008088444 1000009629100 1050010110555 1400013480740 1500014443650 1750016850925 2100020221110 3000028887300 3500033701850 4200040442220 5250050552775 7000067403700 10500101105550 21000202211100