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213422123461 is a prime number
BaseRepresentation
bin1100011011000011110…
…0110010100111000101
3202101212202101012111011
43012300330302213011
511444042030422321
6242013400442221
721263541055201
oct3066074624705
9671782335434
10213422123461
118256a252218
1235442779371
1317182caa271
14a48892db01
1558419a9ae1
hex31b0f329c5

213422123461 has 2 divisors, whose sum is σ = 213422123462. Its totient is φ = 213422123460.

The previous prime is 213422123417. The next prime is 213422123477. The reversal of 213422123461 is 164321224312.

213422123461 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., 185476648900 + 27945474561 = 430670^2 + 167169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213422123461 is a prime.

It is a super-3 number, since 3×2134221234613 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213422129461) 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, 106711061730 + 106711061731.

It is an arithmetic number, because the mean of its divisors is an integer number (106711061731).

Almost surely, 2213422123461 is an apocalyptic number.

It is an amenable number.

213422123461 is a deficient number, since it is larger than the sum of its proper divisors (1).

213422123461 is an equidigital number, since it uses as much as digits as its factorization.

213422123461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 31.

Adding to 213422123461 its reverse (164321224312), we get a palindrome (377743347773).

The spelling of 213422123461 in words is "two hundred thirteen billion, four hundred twenty-two million, one hundred twenty-three thousand, four hundred sixty-one".