Search a number
-
+
122213232123007 is a prime number
BaseRepresentation
bin11011110010011011111100…
…010010011001110001111111
3121000201110201021111001202211
4123302123330102121301333
5112004320144410414012
61111531552254201251
734512420551631304
oct3362337422316177
9530643637431684
10122213232123007
1135a39382494043
12118598b01b3227
1353268734a559c
14222721b1110ab
15e1e0a75ab6a7
hex6f26fc499c7f

122213232123007 has 2 divisors, whose sum is σ = 122213232123008. Its totient is φ = 122213232123006.

The previous prime is 122213232122951. The next prime is 122213232123029. The reversal of 122213232123007 is 700321232312221.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122213232123007 - 243 = 113417139100799 is a prime.

It is a super-3 number, since 3×1222132321230073 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122213232123007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122213232123077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106616061503 + 61106616061504.

It is an arithmetic number, because the mean of its divisors is an integer number (61106616061504).

Almost surely, 2122213232123007 is an apocalyptic number.

122213232123007 is a deficient number, since it is larger than the sum of its proper divisors (1).

122213232123007 is an equidigital number, since it uses as much as digits as its factorization.

122213232123007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 122213232123007 its reverse (700321232312221), we get a palindrome (822534464435228).

The spelling of 122213232123007 in words is "one hundred twenty-two trillion, two hundred thirteen billion, two hundred thirty-two million, one hundred twenty-three thousand, seven".