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211000121208 = 233637995461
BaseRepresentation
bin1100010010000010010…
…1100101011101111000
3202011121221221202000000
43010200211211131320
511424112012334313
6240533200513000
721146531303142
oct3044045453570
9664557852000
10211000121208
1181537082068
1234a8761b760
1316b88289a36
14a2d8dc3c92
15574e039673
hex3120965778

211000121208 has 112 divisors (see below), whose sum is σ = 594737806200. Its totient is φ = 70147062720.

The previous prime is 211000121201. The next prime is 211000121237. The reversal of 211000121208 is 802121000112.

It is a super-2 number, since 2×2110001212082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000121201) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 2162598 + ... + 2258058.

Almost surely, 2211000121208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211000121208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297368903100).

211000121208 is an abundant number, since it is smaller than the sum of its proper divisors (383737684992).

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

211000121208 is an equidigital number, since it uses as much as digits as its factorization.

211000121208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95864 (or 95845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 211000121208 in words is "two hundred eleven billion, one hundred twenty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 379 486 648 729 758 972 1137 1458 1516 1944 2274 2916 3032 3411 4548 5832 6822 9096 10233 13644 20466 27288 30699 40932 61398 81864 92097 95461 122796 184194 190922 245592 276291 286383 368388 381844 552582 572766 736776 763688 859149 1105164 1145532 1718298 2210328 2291064 2577447 3436596 5154894 6873192 7732341 10309788 15464682 20619576 23197023 30929364 36179719 46394046 61858728 69591069 72359438 92788092 108539157 139182138 144718876 185576184 217078314 278364276 289437752 325617471 434156628 556728552 651234942 868313256 976852413 1302469884 1953704826 2604939768 2930557239 3907409652 5861114478 7814819304 8791671717 11722228956 17583343434 23444457912 26375015151 35166686868 52750030302 70333373736 105500060604 211000121208