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211323030200 = 23522579114513
BaseRepresentation
bin1100010011001111010…
…1011000101010111000
3202012110110120012212022
43010303311120222320
511430242143431300
6241025213534012
721160532055602
oct3046365305270
9665413505768
10211323030200
11816923833a7
1234b577a4308
1316c0a149049
14a329c3c172
15576c571285
hex3133d58ab8

211323030200 has 96 divisors (see below), whose sum is σ = 493888656960. Its totient is φ = 84089241600.

The previous prime is 211323030169. The next prime is 211323030203. The reversal of 211323030200 is 2030323112.

211323030200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113230302002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211323030203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46823144 + ... + 46827656.

It is an arithmetic number, because the mean of its divisors is an integer number (5144673510).

Almost surely, 2211323030200 is an apocalyptic number.

211323030200 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 211323030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246944328480).

211323030200 is an abundant number, since it is smaller than the sum of its proper divisors (282565626760).

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

211323030200 is a wasteful number, since it uses less digits than its factorization.

211323030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 211323030200 its reverse (2030323112), we get a palindrome (213353353312).

The spelling of 211323030200 in words is "two hundred eleven billion, three hundred twenty-three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 911 1028 1285 1822 2056 2570 3644 4513 4555 5140 6425 7288 9026 9110 10280 12850 18052 18220 22565 22775 25700 36104 36440 45130 45550 51400 90260 91100 112825 180520 182200 225650 234127 451300 468254 902600 936508 1159841 1170635 1873016 2319682 2341270 4111343 4639364 4682540 5799205 5853175 8222686 9278728 9365080 11598410 11706350 16445372 20556715 23196820 23412700 28996025 32890744 41113430 46393640 46825400 57992050 82226860 102783575 115984100 164453720 205567150 231968200 411134300 822268600 1056615151 2113230302 4226460604 5283075755 8452921208 10566151510 21132303020 26415378775 42264606040 52830757550 105661515100 211323030200