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211441041112 = 23731923176329
BaseRepresentation
bin1100010011101011011…
…1100011111011011000
3202012202200121210101211
43010322313203323120
511431012401303422
6241045031152504
721163464124000
oct3047267437330
9665680553354
10211441041112
1181742a56784
1234b8b215734
1316c287277a2
14a33b79b000
155777ad2577
hex313ade3ed8

211441041112 has 128 divisors (see below), whose sum is σ = 507830400000. Its totient is φ = 82115244288.

The previous prime is 211441041079. The next prime is 211441041113. The reversal of 211441041112 is 211140144112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211441041113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110964 + ... + 1287292.

It is an arithmetic number, because the mean of its divisors is an integer number (3967425000).

Almost surely, 2211441041112 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 211441041112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253915200000).

211441041112 is an abundant number, since it is smaller than the sum of its proper divisors (296389358888).

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

211441041112 is a wasteful number, since it uses less digits than its factorization.

211441041112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176398 (or 176380 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 211441041112 its reverse (211140144112), we get a palindrome (422581185224).

The spelling of 211441041112 in words is "two hundred eleven billion, four hundred forty-one million, forty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 49 56 76 92 98 133 152 161 184 196 266 322 343 392 437 532 644 686 874 931 1064 1127 1288 1372 1748 1862 2254 2744 3059 3496 3724 4508 6118 6517 7448 7889 9016 12236 13034 15778 21413 24472 26068 31556 42826 52136 63112 85652 149891 171304 176329 299782 352658 599564 705316 1199128 1234303 1410632 2468606 3350251 4055567 4937212 6700502 8111134 8640121 9874424 13401004 16222268 17280242 23451757 26802008 28388969 32444536 34560484 46903514 56777938 60480847 69120968 77055773 93807028 113555876 120961694 154111546 164162299 187614056 198722783 227111752 241923388 308223092 328324598 397445566 483846776 539390411 616446184 656649196 794891132 1078780822 1149136093 1313298392 1391059481 1589782264 2157561644 2298272186 2782118962 3775732877 4315123288 4596544372 5564237924 7551465754 9193088744 11128475848 15102931508 26430130139 30205863016 52860260278 105720520556 211441041112