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122003129 is a prime number
BaseRepresentation
bin1110100010110…
…01111010111001
322111120101211102
413101121322321
5222213100004
620034541145
73011003153
oct721317271
9274511742
10122003129
116295a836
1234a377b5
131c378901
14122bbad3
15aa9e11e
hex7459eb9

122003129 has 2 divisors, whose sum is σ = 122003130. Its totient is φ = 122003128.

The previous prime is 122003113. The next prime is 122003131. The reversal of 122003129 is 921300221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119683600 + 2319529 = 10940^2 + 1523^2 .

It is an emirp because it is prime and its reverse (921300221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122003129 - 24 = 122003113 is a prime.

Together with 122003131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122003129.

It is not a weakly prime, because it can be changed into another prime (122003159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61001564 + 61001565.

It is an arithmetic number, because the mean of its divisors is an integer number (61001565).

Almost surely, 2122003129 is an apocalyptic number.

It is an amenable number.

122003129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122003129 is an equidigital number, since it uses as much as digits as its factorization.

122003129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 122003129 is about 11045.5026594538. The cubic root of 122003129 is about 495.9718064641.

The spelling of 122003129 in words is "one hundred twenty-two million, three thousand, one hundred twenty-nine".