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2211011000200 = 2352173221201893
BaseRepresentation
bin100000001011001010100…
…001100111011110001000
321211101000011021022010201
4200023022201213132020
5242211122304001300
64411420251021544
7315511625261332
oct40131241473610
97741004238121
102211011000200
11782759083452
122b861313a8b4
13130660b5ca82
14790290a6452
153c7a7e6566a
hex202ca867788

2211011000200 has 96 divisors (see below), whose sum is σ = 5444705657160. Its totient is φ = 832118067200.

The previous prime is 2211011000197. The next prime is 2211011000243. The reversal of 2211011000200 is 20001101122.

It can be written as a sum of positive squares in 12 ways, for example, as 154557487044 + 2056453513156 = 393138^2 + 1434034^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10850454 + ... + 11052346.

Almost surely, 22211011000200 is an apocalyptic number.

2211011000200 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 2211011000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722352828580).

2211011000200 is an abundant number, since it is smaller than the sum of its proper divisors (3233694656960).

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

2211011000200 is a wasteful number, since it uses less digits than its factorization.

2211011000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205147 (or 205138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2211011000200 its reverse (20001101122), we get a palindrome (2231012101322).

The spelling of 2211011000200 in words is "two trillion, two hundred eleven billion, eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3221 3400 6442 12884 16105 25768 32210 54757 64420 80525 109514 128840 161050 201893 219028 273785 322100 403786 438056 547570 644200 807572 1009465 1095140 1368925 1615144 2018930 2190280 2737850 3432181 4037860 5047325 5475700 6864362 8075720 10094650 10951400 13728724 17160905 20189300 27457448 34321810 40378600 68643620 85804525 137287240 171609050 343218100 650297353 686436200 1300594706 2601189412 3251486765 5202378824 6502973530 11055055001 13005947060 16257433825 22110110002 26011894120 32514867650 44220220004 55275275005 65029735300 88440440008 110550550010 130059470600 221101100020 276376375025 442202200040 552752750050 1105505500100 2211011000200