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212020332210 = 2325101162114389
BaseRepresentation
bin1100010101110101100…
…1011000011010110010
3202021021001122211101200
43011131121120122302
511433204201112320
6241222323312030
721214030042221
oct3053531303262
9667231584350
10212020332210
1181a0aa4a755
123511121b616
1316cbb75239b
14a3946b2cb8
1557ad8ae290
hex315d6586b2

212020332210 has 96 divisors (see below), whose sum is σ = 557092963440. Its totient is φ = 55940544000.

The previous prime is 212020332203. The next prime is 212020332221. The reversal of 212020332210 is 12233020212.

212020332210 is a `hidden beast` number, since 2 + 120 + 2 + 0 + 332 + 210 = 666.

212020332210 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 157170223809 + 54850108401 = 396447^2 + 234201^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 14727696 + ... + 14742084.

Almost surely, 2212020332210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020332210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278546481720).

212020332210 is an abundant number, since it is smaller than the sum of its proper divisors (345072631230).

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

212020332210 is a wasteful number, since it uses less digits than its factorization.

212020332210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16124 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212020332210 its reverse (12233020212), we get a palindrome (224253352422).

The spelling of 212020332210 in words is "two hundred twelve billion, twenty million, three hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1621 1818 3030 3242 4545 4863 8105 9090 9726 14389 14589 16210 24315 28778 29178 43167 48630 71945 72945 86334 129501 143890 145890 163721 215835 259002 327442 431670 491163 647505 818605 982326 1295010 1453289 1473489 1637210 2455815 2906578 2946978 4359867 4911630 7266445 7367445 8719734 13079601 14532890 14734890 21799335 23324569 26159202 43598670 46649138 65398005 69973707 116622845 130796010 139947414 209921121 233245690 349868535 419842242 699737070 1049605605 2099211210 2355781469 4711562938 7067344407 11778907345 14134688814 21202033221 23557814690 35336722035 42404066442 70673444070 106010166105 212020332210