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211322132112303 = 34186113339105097
BaseRepresentation
bin110000000011001001000100…
…100111100010001110101111
31000201020012100201200120010000
4300003021010213202032233
5210144300211310043203
62025240014114115343
762340343301341332
oct6003110447421657
91021205321616100
10211322132112303
116137423846a063
121b84b78a57bb53
1390bb78c83b874
143a2808d82c619
151966e90e304a3
hexc032449e23af

211322132112303 has 40 divisors (see below), whose sum is σ = 315875053210640. Its totient is φ = 140793823797120.

The previous prime is 211322132112263. The next prime is 211322132112307. The reversal of 211322132112303 is 303211231223112.

211322132112303 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 21 + 321 + 12 + 303 = 666.

It is not a de Polignac number, because 211322132112303 - 236 = 211253412635567 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211322132112307) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2010681651 + ... + 2010786747.

It is an arithmetic number, because the mean of its divisors is an integer number (7896876330266).

Almost surely, 2211322132112303 is an apocalyptic number.

211322132112303 is a deficient number, since it is larger than the sum of its proper divisors (104552921098337).

211322132112303 is a wasteful number, since it uses less digits than its factorization.

211322132112303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120309 (or 120300 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 211322132112303 its reverse (303211231223112), we get a palindrome (514533363335415).

The spelling of 211322132112303 in words is "two hundred eleven trillion, three hundred twenty-two billion, one hundred thirty-two million, one hundred twelve thousand, three hundred three".

Divisors: 1 3 9 27 81 1861 5583 13339 16749 40017 50247 105097 120051 150741 315291 360153 945873 1080459 2837619 8512857 24823879 74471637 195585517 223414911 586756551 670244733 1401888883 1760269653 2010734199 4205666649 5280808959 12616999947 15842426877 37850999841 113552999523 2608915211263 7826745633789 23480236901367 70440710704101 211322132112303