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212401434101 is a prime number
BaseRepresentation
bin1100010111010000011…
…1001010110111110101
3202022020121202210220112
43011310013022313311
511434444231342401
6241324215512405
721226335254363
oct3056407126765
9668217683815
10212401434101
118209608819a
12351b8988705
131704c6a7c6c
14a3cd158633
1557d208d3bb
hex31741cadf5

212401434101 has 2 divisors, whose sum is σ = 212401434102. Its totient is φ = 212401434100.

The previous prime is 212401434079. The next prime is 212401434127. The reversal of 212401434101 is 101434104212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206705713201 + 5695720900 = 454649^2 + 75470^2 .

It is a cyclic number.

It is not a de Polignac number, because 212401434101 - 214 = 212401417717 is a prime.

It is a super-2 number, since 2×2124014341012 (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 (212401434181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106200717050 + 106200717051.

It is an arithmetic number, because the mean of its divisors is an integer number (106200717051).

Almost surely, 2212401434101 is an apocalyptic number.

It is an amenable number.

212401434101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212401434101 is an equidigital number, since it uses as much as digits as its factorization.

212401434101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 212401434101 its reverse (101434104212), we get a palindrome (313835538313).

The spelling of 212401434101 in words is "two hundred twelve billion, four hundred one million, four hundred thirty-four thousand, one hundred one".