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301112132129 is a prime number
BaseRepresentation
bin1000110000110111010…
…11101000001000100001
31001210020000121012012222
410120123223220020201
514413134201212004
6350155022000425
730516560615144
oct4303353501041
91053200535188
10301112132129
11106778a48666
124a435a16115
1322519369763
1410806b1c05b
157c7513e7be
hex461bae8221

301112132129 has 2 divisors, whose sum is σ = 301112132130. Its totient is φ = 301112132128.

The previous prime is 301112132077. The next prime is 301112132141. The reversal of 301112132129 is 921231211103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220087648225 + 81024483904 = 469135^2 + 284648^2 .

It is a cyclic number.

It is not a de Polignac number, because 301112132129 - 212 = 301112128033 is a prime.

It is a super-2 number, since 2×3011121321292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301112132098 and 301112132107.

It is not a weakly prime, because it can be changed into another prime (301112132429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150556066064 + 150556066065.

It is an arithmetic number, because the mean of its divisors is an integer number (150556066065).

Almost surely, 2301112132129 is an apocalyptic number.

It is an amenable number.

301112132129 is a deficient number, since it is larger than the sum of its proper divisors (1).

301112132129 is an equidigital number, since it uses as much as digits as its factorization.

301112132129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 301112132129 in words is "three hundred one billion, one hundred twelve million, one hundred thirty-two thousand, one hundred twenty-nine".