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2200201010200 = 2352113163759471
BaseRepresentation
bin100000000001000110001…
…100110001110000011000
321210100002210100220121201
4200001012030301300120
5242022002424311300
64402431451243544
7314650014004444
oct40010614616030
97710083326551
102200201010200
11779111124a16
122b64b6a495b4
1312c62a40259b
14786c1537824
153c373e0a66a
hex20046331c18

2200201010200 has 96 divisors (see below), whose sum is σ = 5163976359360. Its totient is φ = 871744563200.

The previous prime is 2200201010099. The next prime is 2200201010219. The reversal of 2200201010200 is 20101020022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36966465 + ... + 37025935.

It is an arithmetic number, because the mean of its divisors is an integer number (53791420410).

Almost surely, 22200201010200 is an apocalyptic number.

2200201010200 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 2200201010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581988179680).

2200201010200 is an abundant number, since it is smaller than the sum of its proper divisors (2963775349160).

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

2200201010200 is a wasteful number, since it uses less digits than its factorization.

2200201010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61237 (or 61228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2200201010200 its reverse (20101020022), we get a palindrome (2220302030222).

The spelling of 2200201010200 in words is "two trillion, two hundred billion, two hundred one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 1637 2260 2825 3274 4520 5650 6548 8185 11300 13096 16370 22600 32740 40925 59471 65480 81850 118942 163700 184981 237884 297355 327400 369962 475768 594710 739924 924905 1189420 1479848 1486775 1849810 2378840 2973550 3699620 4624525 5947100 6720223 7399240 9249050 11894200 13440446 18498100 26880892 33601115 36996200 53761784 67202230 97354027 134404460 168005575 194708054 268808920 336011150 389416108 486770135 672022300 778832216 973540270 1344044600 1947080540 2433850675 3894161080 4867701350 9735402700 11001005051 19470805400 22002010102 44004020204 55005025255 88008040408 110010050510 220020101020 275025126275 440040202040 550050252550 1100100505100 2200201010200