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122547135329 is a prime number
BaseRepresentation
bin111001000100001100…
…0001110001101100001
3102201022112001111021222
41302020120032031201
54001434031312304
6132144122224425
711565555314633
oct1621030161541
9381275044258
10122547135329
1147a76732643
121b900955115
13b72cb0b038
145d07746a53
1532c38e24be
hex1c8860e361

122547135329 has 2 divisors, whose sum is σ = 122547135330. Its totient is φ = 122547135328.

The previous prime is 122547135253. The next prime is 122547135331. The reversal of 122547135329 is 923531745221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71684707600 + 50862427729 = 267740^2 + 225527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122547135329 is a prime.

Together with 122547135331, 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 122547135329.

It is not a weakly prime, because it can be changed into another prime (122547134329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61273567664 + 61273567665.

It is an arithmetic number, because the mean of its divisors is an integer number (61273567665).

Almost surely, 2122547135329 is an apocalyptic number.

It is an amenable number.

122547135329 is a deficient number, since it is larger than the sum of its proper divisors (1).

122547135329 is an equidigital number, since it uses as much as digits as its factorization.

122547135329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 453600, while the sum is 44.

The spelling of 122547135329 in words is "one hundred twenty-two billion, five hundred forty-seven million, one hundred thirty-five thousand, three hundred twenty-nine".