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212202002261 is a prime number
BaseRepresentation
bin1100010110100000111…
…0011001011101010101
3202021201201111121212002
43011220032121131111
511434042203033021
6241252333205045
721221364154424
oct3055016313525
9667651447762
10212202002261
1181aa3553097
1235162030785
131701a28c462
14a3b08832bb
1557be7e750b
hex3168399755

212202002261 has 2 divisors, whose sum is σ = 212202002262. Its totient is φ = 212202002260.

The previous prime is 212202002219. The next prime is 212202002273. The reversal of 212202002261 is 162200202212.

212202002261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201606388036 + 10595614225 = 449006^2 + 102935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212202002261 is a prime.

It is a super-2 number, since 2×2122020022612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212202002861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106101001130 + 106101001131.

It is an arithmetic number, because the mean of its divisors is an integer number (106101001131).

Almost surely, 2212202002261 is an apocalyptic number.

It is an amenable number.

212202002261 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202002261 is an equidigital number, since it uses as much as digits as its factorization.

212202002261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212202002261 its reverse (162200202212), we get a palindrome (374402204473).

The spelling of 212202002261 in words is "two hundred twelve billion, two hundred two million, two thousand, two hundred sixty-one".