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212111020110 = 2351117101374351
BaseRepresentation
bin1100010110001011001…
…1010101000001001110
3202021111101022020210210
43011202303111001032
511433400410120420
6241235323143250
721216210631353
oct3054263250116
9667441266723
10212111020110
1181a57160930
1235137674b26
1317004485472
14a3a275c62a
1557b68249e0
hex3162cd504e

212111020110 has 128 divisors (see below), whose sum is σ = 593836075008. Its totient is φ = 47916800000.

The previous prime is 212111020067. The next prime is 212111020111. The reversal of 212111020110 is 11020111212.

212111020110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111020111) 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 63 ways as a sum of consecutive naturals, for example, 379435 + ... + 753785.

It is an arithmetic number, because the mean of its divisors is an integer number (4639344336).

Almost surely, 2212111020110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296918037504).

212111020110 is an abundant number, since it is smaller than the sum of its proper divisors (381725054898).

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

212111020110 is a wasteful number, since it uses less digits than its factorization.

212111020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374490.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212111020110 its reverse (11020111212), we get a palindrome (223131131322).

The spelling of 212111020110 in words is "two hundred twelve billion, one hundred eleven million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 101 102 110 165 170 187 202 255 303 330 374 505 510 561 606 935 1010 1111 1122 1515 1717 1870 2222 2805 3030 3333 3434 5151 5555 5610 6666 8585 10302 11110 16665 17170 18887 25755 33330 37774 51510 56661 94435 113322 188870 283305 374351 566610 748702 1123053 1871755 2246106 3743510 4117861 5615265 6363967 8235722 11230530 12353583 12727934 19091901 20589305 24707166 31819835 37809451 38183802 41178610 61767915 63639670 70003637 75618902 95459505 113428353 123535830 140007274 189047255 190919010 210010911 226856706 350018185 378094510 415903961 420021822 567141765 642760667 700036370 831807922 1050054555 1134283530 1247711883 1285521334 1928282001 2079519805 2100109110 2495423766 3213803335 3856564002 4159039610 6238559415 6427606670 7070367337 9641410005 12477118830 14140734674 19282820010 21211102011 35351836685 42422204022 70703673370 106055510055 212111020110