Search a number
-
+
102121234243013 is a prime number
BaseRepresentation
bin10111001110000011110011…
…111001000001110111000101
3111101120200202101210000212102
4113032003303321001313011
5101341123241431234023
61001105503010201445
730340005245540666
oct2716036371016705
9441520671700772
10102121234243013
112a5a2410487127
12b553942883285
1344c9cb64b818b
141b309a08cd36d
15bc161aca4628
hex5ce0f3e41dc5

102121234243013 has 2 divisors, whose sum is σ = 102121234243014. Its totient is φ = 102121234243012.

The previous prime is 102121234242991. The next prime is 102121234243031. The reversal of 102121234243013 is 310342432121201.

It is a happy number.

Together with next prime (102121234243031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53077082301604 + 49044151941409 = 7285402^2 + 7003153^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121234243013 - 218 = 102121233980869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102121234243913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060617121506 + 51060617121507.

It is an arithmetic number, because the mean of its divisors is an integer number (51060617121507).

Almost surely, 2102121234243013 is an apocalyptic number.

It is an amenable number.

102121234243013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121234243013 is an equidigital number, since it uses as much as digits as its factorization.

102121234243013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 102121234243013 its reverse (310342432121201), we get a palindrome (412463666364214).

The spelling of 102121234243013 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred thirty-four million, two hundred forty-three thousand, thirteen".