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102132322211 = 73101137101111
BaseRepresentation
bin101111100011110001…
…1111000111110100011
3100202121202222112102102
41133013203320332203
53133131333302321
6114530254041015
710243635262223
oct1370743707643
9322552875372
10102132322211
113a350040367
1217963aa916b
13982850656a
144d2c322083
1529cb538c0b
hex17c78f8fa3

102132322211 has 16 divisors (see below), whose sum is σ = 105320685888. Its totient is φ = 99006912000.

The previous prime is 102132322199. The next prime is 102132322213. The reversal of 102132322211 is 112223231201.

It is a cyclic number.

It is not a de Polignac number, because 102132322211 - 214 = 102132305827 is a prime.

It is a super-2 number, since 2×1021323222112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132322213) 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 15 ways as a sum of consecutive naturals, for example, 959546 + ... + 1060656.

It is an arithmetic number, because the mean of its divisors is an integer number (6582542868).

Almost surely, 2102132322211 is an apocalyptic number.

102132322211 is a deficient number, since it is larger than the sum of its proper divisors (3188363677).

102132322211 is a wasteful number, since it uses less digits than its factorization.

102132322211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101422.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102132322211 its reverse (112223231201), we get a palindrome (214355553412).

The spelling of 102132322211 in words is "one hundred two billion, one hundred thirty-two million, three hundred twenty-two thousand, two hundred eleven".

Divisors: 1 73 101 137 7373 10001 13837 101111 1010101 7381103 10212211 13852207 745491403 1011211111 1399072907 102132322211