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102233342211 = 372111323710111
BaseRepresentation
bin101111100110110010…
…1010000000100000011
3100202212211001212210220
41133031211100010003
53133333213422321
6114544303154123
710246303033200
oct1371545200403
9322784055726
10102233342211
113a3a2069170
12179918a5943
139843416400
144d3b8daca7
1529d53409c6
hex17cd950103

102233342211 has 144 divisors (see below), whose sum is σ = 192392368128. Its totient is φ = 47693318400.

The previous prime is 102233342179. The next prime is 102233342231. The reversal of 102233342211 is 112243332201.

It is not a de Polignac number, because 102233342211 - 25 = 102233342179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102233342231) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10106046 + ... + 10116156.

It is an arithmetic number, because the mean of its divisors is an integer number (1336058112).

Almost surely, 2102233342211 is an apocalyptic number.

102233342211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102233342211 is a deficient number, since it is larger than the sum of its proper divisors (90159025917).

102233342211 is a wasteful number, since it uses less digits than its factorization.

102233342211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102233342211 its reverse (112243332201), we get a palindrome (214476674412).

It can be divided in two parts, 102233 and 342211, that added together give a palindrome (444444).

The spelling of 102233342211 in words is "one hundred two billion, two hundred thirty-three million, three hundred forty-two thousand, two hundred eleven".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 169 231 259 273 407 429 481 507 539 637 777 1001 1183 1221 1443 1617 1813 1859 1911 2849 3003 3367 3549 5291 5439 5577 6253 7007 8281 8547 10101 10111 13013 15873 18759 19943 21021 23569 24843 30333 37037 39039 43771 59829 68783 70707 70777 91091 111111 111221 131313 131443 206349 212331 259259 273273 306397 333663 374107 394329 481481 495439 777777 778547 919191 920101 1122321 1444443 1445873 1486317 1708759 2335641 2618749 2760303 3370367 4115177 4337619 4863391 5126277 5449829 6440707 7856247 10111101 10121111 11961313 12345531 14590173 16349487 18331243 18796349 19322121 28806239 30363333 34043737 35883939 53497301 54993729 56389047 63224083 70847777 83729191 86418717 102131211 131574443 160491903 189672249 201643673 212543331 238306159 251187573 374481107 394723329 442568581 604931019 695464913 714918477 921021101 1123443321 1327705743 2086394739 2621367749 2763063303 3097980067 4868254391 7864103247 9293940201 14604763173 34077780737 102233342211