Search a number
-
+
2101212212053 is a prime number
BaseRepresentation
bin11110100100111010000…
…000011110101101010101
321102212121002110221112111
4132210322000132231111
5233411240311241203
64245141125551021
7304543666053343
oct36447200365525
97385532427474
102101212212053
11740134573829
1229b28b875471
131231b3252946
14739b08dc993
15399cd86626d
hex1e93a01eb55

2101212212053 has 2 divisors, whose sum is σ = 2101212212054. Its totient is φ = 2101212212052.

The previous prime is 2101212212017. The next prime is 2101212212087. The reversal of 2101212212053 is 3502122121012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1725563350449 + 375648861604 = 1313607^2 + 612902^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101212212053 - 221 = 2101210114901 is a prime.

It is a super-2 number, since 2×21012122120532 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101212212453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050606106026 + 1050606106027.

It is an arithmetic number, because the mean of its divisors is an integer number (1050606106027).

Almost surely, 22101212212053 is an apocalyptic number.

It is an amenable number.

2101212212053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101212212053 is an equidigital number, since it uses as much as digits as its factorization.

2101212212053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 2101212212053 its reverse (3502122121012), we get a palindrome (5603334333065).

The spelling of 2101212212053 in words is "two trillion, one hundred one billion, two hundred twelve million, two hundred twelve thousand, fifty-three".