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102122322211 = 71338310972671
BaseRepresentation
bin101111100011011110…
…1101111100100100011
3100202121002011111000001
41133012331233210203
53133121303302321
6114525255440431
710243454262550
oct1370675574443
9322532144001
10102122322211
113a3454301a8
1217960686117
1398264149c0
144d2ac7ba27
1529ca710c91
hex17c6f6f923

102122322211 has 32 divisors (see below), whose sum is σ = 126179278848. Its totient is φ = 80485505280.

The previous prime is 102122322199. The next prime is 102122322283. The reversal of 102122322211 is 112223221201.

It is a cyclic number.

It is not a de Polignac number, because 102122322211 - 227 = 101988104483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122325211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38232406 + ... + 38235076.

It is an arithmetic number, because the mean of its divisors is an integer number (3943102464).

Almost surely, 2102122322211 is an apocalyptic number.

102122322211 is a deficient number, since it is larger than the sum of its proper divisors (24056956637).

102122322211 is a wasteful number, since it uses less digits than its factorization.

102122322211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102122322211 its reverse (112223221201), we get a palindrome (214345543412).

The spelling of 102122322211 in words is "one hundred two billion, one hundred twenty-two million, three hundred twenty-two thousand, two hundred eleven".

Divisors: 1 7 13 91 383 1097 2671 2681 4979 7679 14261 18697 34723 34853 99827 243061 420151 1022993 2930087 2941057 5461963 7160951 13298909 20510609 38091131 38233741 93092363 266637917 1122223321 7855563247 14588903173 102122322211