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243122085131 is a prime number
BaseRepresentation
bin1110001001101100110…
…1001001110100001011
3212020112121002120122112
43202123031021310023
512440403223211011
6303404434012535
723364535424552
oct3423315116413
9766477076575
10243122085131
1194120095a92
123b15111714b
1319c0715cc93
14baa5194d99
1564ce0b858b
hex389b349d0b

243122085131 has 2 divisors, whose sum is σ = 243122085132. Its totient is φ = 243122085130.

The previous prime is 243122085103. The next prime is 243122085149. The reversal of 243122085131 is 131580221342.

243122085131 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 is a cyclic number.

It is not a de Polignac number, because 243122085131 - 230 = 242048343307 is a prime.

It is a super-2 number, since 2×2431220851312 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (243122085331) 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, 121561042565 + 121561042566.

It is an arithmetic number, because the mean of its divisors is an integer number (121561042566).

Almost surely, 2243122085131 is an apocalyptic number.

243122085131 is a deficient number, since it is larger than the sum of its proper divisors (1).

243122085131 is an equidigital number, since it uses as much as digits as its factorization.

243122085131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 243122085131 in words is "two hundred forty-three billion, one hundred twenty-two million, eighty-five thousand, one hundred thirty-one".