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21210120201200 = 2452741531823993
BaseRepresentation
bin1001101001010010111011…
…01011100010001111110000
32210002200000202010002210212
410310221131223202033300
510240001311232414300
6113035443353443252
74316244360016460
oct464513553421760
983080022102725
1021210120201200
1168381859a8077
1224667b6410528
13bab14b453578
1453480a877ba0
1526bacd274935
hex134a5dae23f0

21210120201200 has 120 divisors (see below), whose sum is σ = 58250984832288. Its totient is φ = 7270286192640.

The previous prime is 21210120201167. The next prime is 21210120201223. The reversal of 21210120201200 is 210202101212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 10716404 + ... + 12540396.

Almost surely, 221210120201200 is an apocalyptic number.

21210120201200 is a gapful number since it is divisible by the number (20) 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 21210120201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29125492416144).

21210120201200 is an abundant number, since it is smaller than the sum of its proper divisors (37040864631088).

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

21210120201200 is a wasteful number, since it uses less digits than its factorization.

21210120201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828171 (or 1828160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21210120201200 its reverse (210202101212), we get a palindrome (21420322302412).

The spelling of 21210120201200 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4153 8306 16612 20765 29071 33224 41530 58142 66448 83060 103825 116284 145355 166120 207650 232568 290710 332240 415300 465136 581420 726775 830600 1162840 1453550 1661200 1823993 2325680 2907100 3647986 5814200 7295972 9119965 11628400 12767951 14591944 18239930 25535902 29183888 36479860 45599825 51071804 63839755 72959720 91199650 102143608 127679510 145919440 182399300 204287216 255359020 319198775 364798600 510718040 638397550 729597200 1021436080 1276795100 2553590200 5107180400 7575042929 15150085858 30300171716 37875214645 53025300503 60600343432 75750429290 106050601006 121200686864 151500858580 189376073225 212101202012 265126502515 303001717160 378752146450 424202404024 530253005030 606003434320 757504292900 848404808048 1060506010060 1325632512575 1515008585800 2121012020120 2651265025150 3030017171600 4242024040240 5302530050300 10605060100600 21210120201200