Search a number
-
+
12210312029 is a prime number
BaseRepresentation
bin10110101111100101…
…01001001101011101
31011111221212010012212
423113302221031131
5200001314441104
65335341210205
7611403640226
oct132762511535
934457763185
1012210312029
1151a6448173
122449260965
1311c78bc706
1483b92624d
154b6e6536e
hex2d7ca935d

12210312029 has 2 divisors, whose sum is σ = 12210312030. Its totient is φ = 12210312028.

The previous prime is 12210312017. The next prime is 12210312041. The reversal of 12210312029 is 92021301221.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (12210312017) and next prime (12210312041).

It can be written as a sum of positive squares in only one way, i.e., 6839620804 + 5370691225 = 82702^2 + 73285^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210312029 - 216 = 12210246493 is a prime.

It is a super-4 number, since 4×122103120294 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12210311995 and 12210312013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12210312089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105156014 + 6105156015.

It is an arithmetic number, because the mean of its divisors is an integer number (6105156015).

Almost surely, 212210312029 is an apocalyptic number.

It is an amenable number.

12210312029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210312029 is an equidigital number, since it uses as much as digits as its factorization.

12210312029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 12210312029 in words is "twelve billion, two hundred ten million, three hundred twelve thousand, twenty-nine".