Search a number
-
+
42117086381 is a prime number
BaseRepresentation
bin100111001110010111…
…111011110010101101
311000201012201200001012
4213032113323302231
51142223433231011
631203123155005
73020462220206
oct471627736255
9130635650035
1042117086381
1116952aa7407
1281b4b15a65
133c828735b6
1420778245ad
1511677c6a8b
hex9ce5fbcad

42117086381 has 2 divisors, whose sum is σ = 42117086382. Its totient is φ = 42117086380.

The previous prime is 42117086351. The next prime is 42117086393. The reversal of 42117086381 is 18368071124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27255038281 + 14862048100 = 165091^2 + 121910^2 .

It is a cyclic number.

It is not a de Polignac number, because 42117086381 - 26 = 42117086317 is a prime.

It is a super-2 number, since 2×421170863812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42117086351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21058543190 + 21058543191.

It is an arithmetic number, because the mean of its divisors is an integer number (21058543191).

Almost surely, 242117086381 is an apocalyptic number.

It is an amenable number.

42117086381 is a deficient number, since it is larger than the sum of its proper divisors (1).

42117086381 is an equidigital number, since it uses as much as digits as its factorization.

42117086381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 42117086381 in words is "forty-two billion, one hundred seventeen million, eighty-six thousand, three hundred eighty-one".