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109314213829 is a prime number
BaseRepresentation
bin110010111001110100…
…0101000011111000101
3101110011021222102121021
41211303220220133011
53242333414320304
6122115050551141
710616623325602
oct1456350503705
9343137872537
10109314213829
11423a6029887
12192291384b1
13a4013c6382
1454100a96a9
152c9bcd1a54
hex1973a287c5

109314213829 has 2 divisors, whose sum is σ = 109314213830. Its totient is φ = 109314213828.

The previous prime is 109314213823. The next prime is 109314213871. The reversal of 109314213829 is 928312413901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80482853025 + 28831360804 = 283695^2 + 169798^2 .

It is a cyclic number.

It is not a de Polignac number, because 109314213829 - 29 = 109314213317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (109314213823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54657106914 + 54657106915.

It is an arithmetic number, because the mean of its divisors is an integer number (54657106915).

Almost surely, 2109314213829 is an apocalyptic number.

It is an amenable number.

109314213829 is a deficient number, since it is larger than the sum of its proper divisors (1).

109314213829 is an equidigital number, since it uses as much as digits as its factorization.

109314213829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 109314213829 in words is "one hundred nine billion, three hundred fourteen million, two hundred thirteen thousand, eight hundred twenty-nine".