Search a number
-
+
122303133097 is a prime number
BaseRepresentation
bin111000111100111010…
…1011011010110101001
3102200200111220220011021
41301321311123112221
54000434100224342
6132104004332441
711556533323105
oct1617165332651
9380614826137
10122303133097
1147960a26102
121b8530a4121
13b6c13b8612
145cc318c905
1532ac295567
hex1c79d5b5a9

122303133097 has 2 divisors, whose sum is σ = 122303133098. Its totient is φ = 122303133096.

The previous prime is 122303133053. The next prime is 122303133103. The reversal of 122303133097 is 790331303221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82197463401 + 40105669696 = 286701^2 + 200264^2 .

It is a cyclic number.

It is not a de Polignac number, because 122303133097 - 215 = 122303100329 is a prime.

It is a super-2 number, since 2×1223031330972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122303133037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61151566548 + 61151566549.

It is an arithmetic number, because the mean of its divisors is an integer number (61151566549).

Almost surely, 2122303133097 is an apocalyptic number.

It is an amenable number.

122303133097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122303133097 is an equidigital number, since it uses as much as digits as its factorization.

122303133097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20412, while the sum is 34.

The spelling of 122303133097 in words is "one hundred twenty-two billion, three hundred three million, one hundred thirty-three thousand, ninety-seven".