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106213167373 is a prime number
BaseRepresentation
bin110001011101011001…
…1000101000100001101
3101011011011210221120211
41202322303011010031
53220011032323443
6120443232442421
710450030012045
oct1427263050415
9334134727524
10106213167373
1141054622775
12187026a9411
13a028ac2c41
1451d82bc725
152b6992d19d
hex18bacc510d

106213167373 has 2 divisors, whose sum is σ = 106213167374. Its totient is φ = 106213167372.

The previous prime is 106213167371. The next prime is 106213167383. The reversal of 106213167373 is 373761312601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59573581929 + 46639585444 = 244077^2 + 215962^2 .

It is a cyclic number.

It is not a de Polignac number, because 106213167373 - 21 = 106213167371 is a prime.

It is a super-2 number, since 2×1062131673732 (a number of 23 digits) contains 22 as substring.

Together with 106213167371, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106213167371) 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, 53106583686 + 53106583687.

It is an arithmetic number, because the mean of its divisors is an integer number (53106583687).

Almost surely, 2106213167373 is an apocalyptic number.

It is an amenable number.

106213167373 is a deficient number, since it is larger than the sum of its proper divisors (1).

106213167373 is an equidigital number, since it uses as much as digits as its factorization.

106213167373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 40.

Adding to 106213167373 its reverse (373761312601), we get a palindrome (479974479974).

The spelling of 106213167373 in words is "one hundred six billion, two hundred thirteen million, one hundred sixty-seven thousand, three hundred seventy-three".