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102211213829 is a prime number
BaseRepresentation
bin101111100110001000…
…0110101101000000101
3100202211021102122101012
41133030100311220011
53133312032320304
6114542153012005
710245613661024
oct1371420655005
9322737378335
10102211213829
113a39062484a
12179863b4005
13983b9692aa
144d389ba8bb
1529d341e16e
hex17cc435a05

102211213829 has 2 divisors, whose sum is σ = 102211213830. Its totient is φ = 102211213828.

The previous prime is 102211213817. The next prime is 102211213847. The reversal of 102211213829 is 928312112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94071024100 + 8140189729 = 306710^2 + 90223^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211213829 - 24 = 102211213813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102211213795 and 102211213804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102211213879) 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 as a sum of consecutive naturals, namely, 51105606914 + 51105606915.

It is an arithmetic number, because the mean of its divisors is an integer number (51105606915).

Almost surely, 2102211213829 is an apocalyptic number.

It is an amenable number.

102211213829 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211213829 is an equidigital number, since it uses as much as digits as its factorization.

102211213829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 102211213829 in words is "one hundred two billion, two hundred eleven million, two hundred thirteen thousand, eight hundred twenty-nine".