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122312110240153 is a prime number
BaseRepresentation
bin11011110011111000000001…
…111000011111000110011001
3121001001220221021002212001201
4123303320001320133012121
5112012430200210141103
61112045224023314201
734522521054023311
oct3363700170370631
9531056837085051
10122312110240153
1135a77302618a29
1211874aa62ab961
135332ca0741c02
14222bd1b178441
15e2194308b51d
hex6f3e01e1f199

122312110240153 has 2 divisors, whose sum is σ = 122312110240154. Its totient is φ = 122312110240152.

The previous prime is 122312110240147. The next prime is 122312110240157. The reversal of 122312110240153 is 351042011213221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84011211372169 + 38300898867984 = 9165763^2 + 6188772^2 .

It is an emirp because it is prime and its reverse (351042011213221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122312110240153 is a prime.

It is a super-2 number, since 2×1223121102401532 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122312110240157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156055120076 + 61156055120077.

It is an arithmetic number, because the mean of its divisors is an integer number (61156055120077).

Almost surely, 2122312110240153 is an apocalyptic number.

It is an amenable number.

122312110240153 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312110240153 is an equidigital number, since it uses as much as digits as its factorization.

122312110240153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 122312110240153 its reverse (351042011213221), we get a palindrome (473354121453374).

The spelling of 122312110240153 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred ten million, two hundred forty thousand, one hundred fifty-three".