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226102210331 is a prime number
BaseRepresentation
bin1101001010010010111…
…1011110111100011011
3210121121110012100122012
43102210233132330123
512201024131212311
6251511523020135
722223011035404
oct3224457367433
9717543170565
10226102210331
1187986892158
12379a120a64b
1318423ccb44a
14ad2c9c09ab
155d34cb778b
hex34a4bdef1b

226102210331 has 2 divisors, whose sum is σ = 226102210332. Its totient is φ = 226102210330.

The previous prime is 226102210261. The next prime is 226102210343. The reversal of 226102210331 is 133012201622.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226102210331 is a prime.

It is a super-2 number, since 2×2261022103312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226102210297 and 226102210306.

It is not a weakly prime, because it can be changed into another prime (226102210361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113051105165 + 113051105166.

It is an arithmetic number, because the mean of its divisors is an integer number (113051105166).

Almost surely, 2226102210331 is an apocalyptic number.

226102210331 is a deficient number, since it is larger than the sum of its proper divisors (1).

226102210331 is an equidigital number, since it uses as much as digits as its factorization.

226102210331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 226102210331 its reverse (133012201622), we get a palindrome (359114411953).

The spelling of 226102210331 in words is "two hundred twenty-six billion, one hundred two million, two hundred ten thousand, three hundred thirty-one".