Search a number
-
+
293901398381 is a prime number
BaseRepresentation
bin1000100011011011110…
…00110111000101101101
31001002121111022222002002
410101231320313011231
514303402224222011
6343003314542045
730143102444603
oct4215570670555
91032544288062
10293901398381
1110370874a678
1248b62b97925
132193a4bb9b6
14103211c7873
1579a209ac3b
hex446de3716d

293901398381 has 2 divisors, whose sum is σ = 293901398382. Its totient is φ = 293901398380.

The previous prime is 293901398309. The next prime is 293901398419. The reversal of 293901398381 is 183893109392.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174841895881 + 119059502500 = 418141^2 + 345050^2 .

It is a cyclic number.

It is not a de Polignac number, because 293901398381 - 222 = 293897204077 is a prime.

It is a super-2 number, since 2×2939013983812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (293901358381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146950699190 + 146950699191.

It is an arithmetic number, because the mean of its divisors is an integer number (146950699191).

Almost surely, 2293901398381 is an apocalyptic number.

It is an amenable number.

293901398381 is a deficient number, since it is larger than the sum of its proper divisors (1).

293901398381 is an equidigital number, since it uses as much as digits as its factorization.

293901398381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2519424, while the sum is 56.

The spelling of 293901398381 in words is "two hundred ninety-three billion, nine hundred one million, three hundred ninety-eight thousand, three hundred eighty-one".