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103978129 is a prime number
BaseRepresentation
bin1100011001010…
…01010010010001
321020122122011211
412030221102101
5203104300004
614152340121
72401541143
oct614512221
9236578154
10103978129
1153769342
122a9a4641
1318707428
14db48c93
1591dd504
hex6329491

103978129 has 2 divisors, whose sum is σ = 103978130. Its totient is φ = 103978128.

The previous prime is 103978111. The next prime is 103978181. The reversal of 103978129 is 921879301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94614529 + 9363600 = 9727^2 + 3060^2 .

It is a cyclic number.

It is not a de Polignac number, because 103978129 - 213 = 103969937 is a prime.

It is a super-2 number, since 2×1039781292 = 21622902620681282, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 103978091 and 103978100.

It is not a weakly prime, because it can be changed into another prime (103978229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51989064 + 51989065.

It is an arithmetic number, because the mean of its divisors is an integer number (51989065).

Almost surely, 2103978129 is an apocalyptic number.

It is an amenable number.

103978129 is a deficient number, since it is larger than the sum of its proper divisors (1).

103978129 is an equidigital number, since it uses as much as digits as its factorization.

103978129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 103978129 is about 10196.9666568053. The cubic root of 103978129 is about 470.2339698222.

The spelling of 103978129 in words is "one hundred three million, nine hundred seventy-eight thousand, one hundred twenty-nine".