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212022221202 = 232112107909787
BaseRepresentation
bin1100010101110110000…
…0100101100110010010
3202021021012012210121100
43011131200211212102
511433210142034302
6241222432005230
721214052100411
oct3053540454622
9667235183540
10212022221202
1181a1101aa00
1235111990816
1316cbbc6412c
14a394a45478
1557adb33d1c
hex315d825992

212022221202 has 72 divisors (see below), whose sum is σ = 509659598448. Its totient is φ = 63648628560.

The previous prime is 212022221179. The next prime is 212022221207. The reversal of 212022221202 is 202122220212.

212022221202 is digitally balanced in base 3, 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 (18).

It is not an unprimeable number, because it can be changed into a prime (212022221207) 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 35 ways as a sum of consecutive naturals, for example, 221848 + ... + 687939.

It is an arithmetic number, because the mean of its divisors is an integer number (7078605534).

Almost surely, 2212022221202 is an apocalyptic number.

212022221202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212022221202 is an abundant number, since it is smaller than the sum of its proper divisors (297637377246).

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

212022221202 is a wasteful number, since it uses less digits than its factorization.

212022221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909924 (or 909910 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212022221202 its reverse (202122220212), we get a palindrome (414144441414).

The spelling of 212022221202 in words is "two hundred twelve billion, twenty-two million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 121 198 214 242 321 363 642 726 963 1089 1177 1926 2178 2354 3531 7062 10593 12947 21186 25894 38841 77682 116523 233046 909787 1819574 2729361 5458722 8188083 10007657 16376166 20015314 30022971 60045942 90068913 97347209 110084227 180137826 194694418 220168454 292041627 330252681 584083254 660505362 876124881 990758043 1070819299 1752249762 1981516086 2141638598 3212457897 6424915794 9637373691 11779012289 19274747382 23558024578 35337036867 70674073734 106011110601 212022221202