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2210133231161 is a prime number
BaseRepresentation
bin100000001010010110001…
…101001100011000111001
321211021201222121000101022
4200022112031030120321
5242202323101344121
64411153213232225
7315451106333042
oct40122615143071
97737658530338
102210133231161
11782348655599
122b8409192675
1313055104b0cb
1478d846958c9
153c755d7aaab
hex2029634c639

2210133231161 has 2 divisors, whose sum is σ = 2210133231162. Its totient is φ = 2210133231160.

The previous prime is 2210133231149. The next prime is 2210133231221. The reversal of 2210133231161 is 1611323310122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1825957638400 + 384175592761 = 1351280^2 + 619819^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2210133231161 is a prime.

It is a super-2 number, since 2×22101332311612 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2210133231161.

It is not a weakly prime, because it can be changed into another prime (2210133237161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105066615580 + 1105066615581.

It is an arithmetic number, because the mean of its divisors is an integer number (1105066615581).

Almost surely, 22210133231161 is an apocalyptic number.

It is an amenable number.

2210133231161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210133231161 is an equidigital number, since it uses as much as digits as its factorization.

2210133231161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 2210133231161 its reverse (1611323310122), we get a palindrome (3821456541283).

The spelling of 2210133231161 in words is "two trillion, two hundred ten billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred sixty-one".