Search a number
-
+
122112203323021 is a prime number
BaseRepresentation
bin11011110000111101110110…
…100000000111011010001101
3121000100210221101222021020221
4123300331312200013122031
5112001141243022314041
61111413323300311341
734502213143202032
oct3360756640073215
9530323841867227
10122112203323021
11359aa54935431a
12118421b59a2551
13531a1927b3c72
1422223955a7389
15e1b642da22d1
hex6f0f7680768d

122112203323021 has 2 divisors, whose sum is σ = 122112203323022. Its totient is φ = 122112203323020.

The previous prime is 122112203323001. The next prime is 122112203323109. The reversal of 122112203323021 is 120323302211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107837030260521 + 14275173062500 = 10384461^2 + 3778250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122112203323021 is a prime.

It is a super-2 number, since 2×1221122033230212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112203323001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056101661510 + 61056101661511.

It is an arithmetic number, because the mean of its divisors is an integer number (61056101661511).

Almost surely, 2122112203323021 is an apocalyptic number.

It is an amenable number.

122112203323021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112203323021 is an equidigital number, since it uses as much as digits as its factorization.

122112203323021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122112203323021 its reverse (120323302211221), we get a palindrome (242435505534242).

The spelling of 122112203323021 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred three million, three hundred twenty-three thousand, twenty-one".