Search a number
-
+
123203311200029 is a prime number
BaseRepresentation
bin11100000000110110000001…
…100110010110011100011101
3121011020010021120221101102002
4130000312001212112130131
5112122030340131400104
61114010453025012045
734644100622135534
oct3400660146263435
9534203246841362
10123203311200029
113629025a2a5735
1211999763784025
13539903a27cba8
14225d101adb31b
15e39c02d8501e
hex700d8199671d

123203311200029 has 2 divisors, whose sum is σ = 123203311200030. Its totient is φ = 123203311200028.

The previous prime is 123203311199989. The next prime is 123203311200031. The reversal of 123203311200029 is 920002113302321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90886382899225 + 32316928300804 = 9533435^2 + 5684798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123203311200029 is a prime.

Together with 123203311200031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 123203311199974 and 123203311200010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123203311200059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61601655600014 + 61601655600015.

It is an arithmetic number, because the mean of its divisors is an integer number (61601655600015).

Almost surely, 2123203311200029 is an apocalyptic number.

It is an amenable number.

123203311200029 is a deficient number, since it is larger than the sum of its proper divisors (1).

123203311200029 is an equidigital number, since it uses as much as digits as its factorization.

123203311200029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 123203311200029 in words is "one hundred twenty-three trillion, two hundred three billion, three hundred eleven million, two hundred thousand, twenty-nine".