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2121020137 is a prime number
BaseRepresentation
bin111111001101100…
…0011001011101001
312110211001222122101
41332123003023221
513320440121022
6550244453401
7103363242115
oct17633031351
95424058571
102121020137
11999295905
124b23aa261
1327a56a702
1416199c745
15c631a627
hex7e6c32e9

2121020137 has 2 divisors, whose sum is σ = 2121020138. Its totient is φ = 2121020136.

The previous prime is 2121020119. The next prime is 2121020173. The reversal of 2121020137 is 7310201212.

Together with next prime (2121020173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1490809321 + 630210816 = 38611^2 + 25104^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121020137 - 219 = 2120495849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121020117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060510068 + 1060510069.

It is an arithmetic number, because the mean of its divisors is an integer number (1060510069).

Almost surely, 22121020137 is an apocalyptic number.

It is an amenable number.

2121020137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121020137 is an equidigital number, since it uses as much as digits as its factorization.

2121020137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2121020137 is about 46054.5343804494. The cubic root of 2121020137 is about 1284.8376781745.

Adding to 2121020137 its reverse (7310201212), we get a palindrome (9431221349).

The spelling of 2121020137 in words is "two billion, one hundred twenty-one million, twenty thousand, one hundred thirty-seven".