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212123222029 is a prime number
BaseRepresentation
bin1100010110001110000…
…1111000000000001101
3202021112020021011200201
43011203201320000031
511433412021101104
6241240440453501
721216416431435
oct3054341700015
9667466234621
10212123222029
1181a63035364
123513b77a291
1317006b68334
14a3a42172c5
1557b79350a4
hex316387800d

212123222029 has 2 divisors, whose sum is σ = 212123222030. Its totient is φ = 212123222028.

The previous prime is 212123222023. The next prime is 212123222089. The reversal of 212123222029 is 920222321212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211977368100 + 145853929 = 460410^2 + 12077^2 .

It is a cyclic number.

It is not a de Polignac number, because 212123222029 - 27 = 212123221901 is a prime.

It is a super-2 number, since 2×2121232220292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212123221988 and 212123222006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212123222023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061611014 + 106061611015.

It is an arithmetic number, because the mean of its divisors is an integer number (106061611015).

Almost surely, 2212123222029 is an apocalyptic number.

It is an amenable number.

212123222029 is a deficient number, since it is larger than the sum of its proper divisors (1).

212123222029 is an equidigital number, since it uses as much as digits as its factorization.

212123222029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 212123222029 in words is "two hundred twelve billion, one hundred twenty-three million, two hundred twenty-two thousand, twenty-nine".