Search a number
-
+
61381124429 is a prime number
BaseRepresentation
bin111001001010100110…
…011010000101001101
312212102202102012021212
4321022212122011031
52001202031440204
644110442304205
74302036643352
oct711246320515
9185382365255
1061381124429
1124039054309
12ba904b8065
135a3292a291
142d84090629
1518e3b19c6e
hexe4a99a14d

61381124429 has 2 divisors, whose sum is σ = 61381124430. Its totient is φ = 61381124428.

The previous prime is 61381124411. The next prime is 61381124447. The reversal of 61381124429 is 92442118316.

It is a balanced prime because it is at equal distance from previous prime (61381124411) and next prime (61381124447).

It can be written as a sum of positive squares in only one way, i.e., 60478121929 + 903002500 = 245923^2 + 30050^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61381124429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61381129429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30690562214 + 30690562215.

It is an arithmetic number, because the mean of its divisors is an integer number (30690562215).

Almost surely, 261381124429 is an apocalyptic number.

It is an amenable number.

61381124429 is a deficient number, since it is larger than the sum of its proper divisors (1).

61381124429 is an equidigital number, since it uses as much as digits as its factorization.

61381124429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 41.

The spelling of 61381124429 in words is "sixty-one billion, three hundred eighty-one million, one hundred twenty-four thousand, four hundred twenty-nine".