Search a number
-
+
122103102000001 is a prime number
BaseRepresentation
bin11011110000110101011000…
…000001010100101110000001
3121000022221110010020011012011
4123300311120001110232001
5112001014123103000001
61111405220215332521
734501441460215423
oct3360653001245601
9530287403204164
10122103102000001
11359a66a8948661
1211840495981141
135319372048c25
142221b70938813
15e1b2add5dd51
hex6f0d58054b81

122103102000001 has 2 divisors, whose sum is σ = 122103102000002. Its totient is φ = 122103102000000.

The previous prime is 122103101999953. The next prime is 122103102000017. The reversal of 122103102000001 is 100000201301221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81080101793601 + 41023000206400 = 9004449^2 + 6404920^2 .

It is a cyclic number.

It is not a de Polignac number, because 122103102000001 - 211 = 122103101997953 is a prime.

It is not a weakly prime, because it can be changed into another prime (122103102000041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051551000000 + 61051551000001.

It is an arithmetic number, because the mean of its divisors is an integer number (61051551000001).

Almost surely, 2122103102000001 is an apocalyptic number.

It is an amenable number.

122103102000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122103102000001 is an equidigital number, since it uses as much as digits as its factorization.

122103102000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122103102000001 its reverse (100000201301221), we get a palindrome (222103303301222).

The spelling of 122103102000001 in words is "one hundred twenty-two trillion, one hundred three billion, one hundred two million, one", and thus it is an aban number.