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212220212100 = 223521324185803
BaseRepresentation
bin1100010110100101001…
…1110111001110000100
3202021202222202210001120
43011221103313032010
511434111333241400
6241254223353540
721222005016351
oct3055123671604
9667688683046
10212220212100
1182002860446
12351681528b0
1317020c96b00
14a3b3063628
1557c11e2ca0
hex31694f7384

212220212100 has 108 divisors (see below), whose sum is σ = 664889850576. Its totient is φ = 52238808960.

The previous prime is 212220212077. The next prime is 212220212129. The reversal of 212220212100 is 1212022212.

212220212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 212220212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2042202 + ... + 2143601.

Almost surely, 2212220212100 is an apocalyptic number.

212220212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220212100 is an abundant number, since it is smaller than the sum of its proper divisors (452669638476).

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

212220212100 is a wasteful number, since it uses less digits than its factorization.

212220212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185846 (or 4185826 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212220212100 its reverse (1212022212), we get a palindrome (213432234312).

The spelling of 212220212100 in words is "two hundred twelve billion, two hundred twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2535 3380 3900 4225 5070 8450 10140 12675 16900 25350 50700 4185803 8371606 12557409 16743212 20929015 25114818 41858030 50229636 54415439 62787045 83716060 104645075 108830878 125574090 163246317 209290150 217661756 251148180 272077195 313935225 326492634 418580300 544154390 627870450 652985268 707400707 816231585 1088308780 1255740900 1360385975 1414801414 1632463170 2122202121 2720771950 2829602828 3264926340 3537003535 4081157925 4244404242 5441543900 7074007070 8162315850 8488808484 10611010605 14148014140 16324631700 17685017675 21222021210 35370035350 42444042420 53055053025 70740070700 106110106050 212220212100