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212112221010 = 235313759104479
BaseRepresentation
bin1100010110001011011…
…1111010001101010010
3202021111110120021010120
43011202313322031102
511433401212033020
6241235405011110
721216224062464
oct3054267721522
9667443507116
10212112221010
1181a57901108
1235137b53a96
13170047b5c61
14a3a2992134
1557b69b0740
hex3162dfa352

212112221010 has 128 divisors (see below), whose sum is σ = 548845977600. Its totient is φ = 52356015360.

The previous prime is 212112220963. The next prime is 212112221029. The reversal of 212112221010 is 10122211212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1977951 + ... + 2082429.

It is an arithmetic number, because the mean of its divisors is an integer number (4287859200).

Almost surely, 2212112221010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274422988800).

212112221010 is an abundant number, since it is smaller than the sum of its proper divisors (336733756590).

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

212112221010 is a wasteful number, since it uses less digits than its factorization.

212112221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104616.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212112221010 its reverse (10122211212), we get a palindrome (222234432222).

The spelling of 212112221010 in words is "two hundred twelve billion, one hundred twelve million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 59 62 74 93 111 118 155 177 185 186 222 295 310 354 370 465 555 590 885 930 1110 1147 1770 1829 2183 2294 3441 3658 4366 5487 5735 6549 6882 9145 10915 10974 11470 13098 17205 18290 21830 27435 32745 34410 54870 65490 67673 104479 135346 203019 208958 313437 338365 406038 522395 626874 676730 1015095 1044790 1567185 2030190 3134370 3238849 3865723 6164261 6477698 7731446 9716547 11597169 12328522 16194245 18492783 19328615 19433094 23194338 30821305 32388490 36985566 38657230 48582735 57985845 61642610 92463915 97165470 115971690 119837413 184927830 191092091 228077657 239674826 359512239 382184182 456155314 573276273 599187065 684232971 719024478 955460455 1140388285 1146552546 1198374130 1368465942 1797561195 1910920910 2280776570 2866381365 3421164855 3595122390 5732762730 6842329710 7070407367 14140814734 21211222101 35352036835 42422444202 70704073670 106056110505 212112221010