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212110223100 = 223521935576577
BaseRepresentation
bin1100010110001011000…
…0010010011011111100
3202021111022210202111220
43011202300102123330
511433400204114400
6241235254113340
721216201101616
oct3054260223374
9667438722456
10212110223100
1181a56767046
123513734b850
1317004266769
14a3a25d1db6
1557b67187a0
hex3162c126fc

212110223100 has 144 divisors (see below), whose sum is σ = 618086877408. Its totient is φ = 56160092160.

The previous prime is 212110223089. The next prime is 212110223113. The reversal of 212110223100 is 1322011212.

It is a super-2 number, since 2×2121102231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212110223100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32247012 + ... + 32253588.

It is an arithmetic number, because the mean of its divisors is an integer number (4292269982).

Almost surely, 2212110223100 is an apocalyptic number.

212110223100 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 212110223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309043438704).

212110223100 is an abundant number, since it is smaller than the sum of its proper divisors (405976654308).

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

212110223100 is a wasteful number, since it uses less digits than its factorization.

212110223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212110223100 its reverse (1322011212), we get a palindrome (213432234312).

The spelling of 212110223100 in words is "two hundred twelve billion, one hundred ten million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 193 300 386 557 579 772 965 1114 1158 1671 1930 2228 2316 2785 2895 3342 3860 4825 5570 5790 6577 6684 8355 9650 11140 11580 13154 13925 14475 16710 19300 19731 26308 27850 28950 32885 33420 39462 41775 55700 57900 65770 78924 83550 98655 107501 131540 164425 167100 197310 215002 322503 328850 394620 430004 493275 537505 645006 657700 986550 1075010 1269361 1290012 1612515 1973100 2150020 2538722 2687525 3225030 3663389 3808083 5077444 5375050 6346805 6450060 7326778 7616166 8062575 10750100 10990167 12693610 14653556 15232332 16125150 18316945 19040415 21980334 25387220 31734025 32250300 36633890 38080830 43960668 54950835 63468050 73267780 76161660 91584725 95202075 109901670 126936100 183169450 190404150 219803340 274754175 366338900 380808300 549508350 707034077 1099016700 1414068154 2121102231 2828136308 3535170385 4242204462 7070340770 8484408924 10605511155 14140681540 17675851925 21211022310 35351703850 42422044620 53027555775 70703407700 106055111550 212110223100