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102020213322 = 23259101951131
BaseRepresentation
bin101111100000011100…
…0001110101001001010
3100202022222000210221100
41133000320032221022
53132414133311242
6114511211122230
710241104335156
oct1370070165112
9322288023840
10102020213322
113a2a2829295
1217932443376
13980b213341
144d1b49c066
1529c179154c
hex17c0e0ea4a

102020213322 has 48 divisors (see below), whose sum is σ = 227016185760. Its totient is φ = 33099324000.

The previous prime is 102020213311. The next prime is 102020213329. The reversal of 102020213322 is 223312020201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102020213295 and 102020213304.

It is not an unprimeable number, because it can be changed into a prime (102020213329) 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, 368304 + ... + 582827.

It is an arithmetic number, because the mean of its divisors is an integer number (4729503870).

Almost surely, 2102020213322 is an apocalyptic number.

102020213322 is an abundant number, since it is smaller than the sum of its proper divisors (124995972438).

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

102020213322 is a wasteful number, since it uses less digits than its factorization.

102020213322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951299 (or 951296 counting only the distinct ones).

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

Adding to 102020213322 its reverse (223312020201), we get a palindrome (325332233523).

The spelling of 102020213322 in words is "one hundred two billion, twenty million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 59 101 118 177 202 303 354 531 606 909 1062 1818 5959 11918 17877 35754 53631 107262 951131 1902262 2853393 5706786 8560179 17120358 56116729 96064231 112233458 168350187 192128462 288192693 336700374 505050561 576385386 864578079 1010101122 1729156158 5667789629 11335579258 17003368887 34006737774 51010106661 102020213322