Search a number
-
+
122030001029 is a prime number
BaseRepresentation
bin111000110100110001…
…1100000101110000101
3102122222110222100101202
41301221203200232011
53444404140013104
6132020530232245
711550005615516
oct1615143405605
9378873870352
10122030001029
1147830832a22
121b797725685
13b679937001
145c98bb0a0d
1532932e251e
hex1c698e0b85

122030001029 has 2 divisors, whose sum is σ = 122030001030. Its totient is φ = 122030001028.

The previous prime is 122030001013. The next prime is 122030001031. The reversal of 122030001029 is 920100030221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118783622500 + 3246378529 = 344650^2 + 56977^2 .

It is a cyclic number.

It is not a de Polignac number, because 122030001029 - 24 = 122030001013 is a prime.

It is a super-2 number, since 2×1220300010292 (a number of 23 digits) contains 22 as substring.

Together with 122030001031, 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 122030001029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122030001529) 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, 61015000514 + 61015000515.

It is an arithmetic number, because the mean of its divisors is an integer number (61015000515).

Almost surely, 2122030001029 is an apocalyptic number.

It is an amenable number.

122030001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122030001029 is an equidigital number, since it uses as much as digits as its factorization.

122030001029 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 122030001029 in words is "one hundred twenty-two billion, thirty million, one thousand, twenty-nine".