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212020312200 = 233521918598273
BaseRepresentation
bin1100010101110101100…
…1010011100010001000
3202021021001121210221120
43011131121103202020
511433204144442300
6241222323035240
721214026626664
oct3053531234210
9667231553846
10212020312200
1181a0aa36714
123511120bb20
1316cbb746248
14a3946a98a4
1557ad8a83a0
hex315d653888

212020312200 has 96 divisors (see below), whose sum is σ = 691855792800. Its totient is φ = 53563023360.

The previous prime is 212020312151. The next prime is 212020312201. The reversal of 212020312200 is 2213020212.

It is a happy number.

It is a super-2 number, since 2×2120203122002 (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 212020312200.

It is not an unprimeable number, because it can be changed into a prime (212020312201) 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 23 ways as a sum of consecutive naturals, for example, 9287737 + ... + 9310536.

It is an arithmetic number, because the mean of its divisors is an integer number (7206831175).

Almost surely, 2212020312200 is an apocalyptic number.

212020312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020312200 is an abundant number, since it is smaller than the sum of its proper divisors (479835480600).

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

212020312200 is a wasteful number, since it uses less digits than its factorization.

212020312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18598311 (or 18598302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212020312200 its reverse (2213020212), we get a palindrome (214233332412).

The spelling of 212020312200 in words is "two hundred twelve billion, twenty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 18598273 37196546 55794819 74393092 92991365 111589638 148786184 185982730 223179276 278974095 353367187 371965460 446358552 464956825 557948190 706734374 743930920 929913650 1060101561 1115896380 1394870475 1413468748 1766835935 1859827300 2120203122 2231792760 2789740950 2826937496 3533671870 3719654600 4240406244 5300507805 5579481900 7067343740 8480812488 8834179675 10601015610 11158963800 14134687480 17668359350 21202031220 26502539025 35336718700 42404062440 53005078050 70673437400 106010156100 212020312200