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21500112200103 = 321719231414922727
BaseRepresentation
bin1001110001101111000101…
…00011001110000110100111
32211010101112210012222222200
410320313202203032012213
510304224212210400403
6113421003140425543
74346221552234305
oct470674243160647
984111483188880
1021500112200103
11693a167914a89
1224b2a480a82b3
13bcc5b4a22c24
1454487a773275
15274401ee4ca3
hex138de28ce1a7

21500112200103 has 96 divisors (see below), whose sum is σ = 36122246784000. Its totient is φ = 12223187463168.

The previous prime is 21500112200093. The next prime is 21500112200123. The reversal of 21500112200103 is 30100221100512.

21500112200103 is a `hidden beast` number, since 21 + 500 + 112 + 20 + 0 + 10 + 3 = 666.

It is not a de Polignac number, because 21500112200103 - 210 = 21500112199079 is a prime.

It is a super-2 number, since 2×215001122001032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21500112200123) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 946004926 + ... + 946027652.

It is an arithmetic number, because the mean of its divisors is an integer number (376273404000).

Almost surely, 221500112200103 is an apocalyptic number.

21500112200103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

21500112200103 is a deficient number, since it is larger than the sum of its proper divisors (14622134583897).

21500112200103 is a wasteful number, since it uses less digits than its factorization.

21500112200103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36941 (or 36938 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 21500112200103 its reverse (30100221100512), we get a palindrome (51600333300615).

The spelling of 21500112200103 in words is "twenty-one trillion, five hundred billion, one hundred twelve million, two hundred thousand, one hundred three".

Divisors: 1 3 9 17 19 23 51 57 69 153 171 207 323 391 437 969 1173 1311 2907 3519 3933 7429 14149 22287 22727 42447 66861 68181 127341 204543 240533 268831 325427 386359 431813 522721 721599 806493 976281 1159077 1295439 1568163 2164797 2419479 2928843 3477231 3886317 4570127 4704489 5532259 6183113 7340821 8886257 9931699 13710381 16596777 18549339 22022463 26658771 29795097 41131143 49790331 55648017 66067389 79976313 89385291 105112921 168838883 315338763 321564323 506516649 946016289 964692969 1519549947 2894078907 5466593491 6109722137 7395979429 16399780473 18329166411 22187938287 49199341419 54987499233 66563814861 103865276329 125731650293 140523609151 311595828987 377194950879 421570827453 934787486961 1131584852637 1264712482359 2388901355567 7166704066701 21500112200103