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345881172097 is a prime number
BaseRepresentation
bin1010000100010000001…
…11111101100010000001
31020001210001110001200101
411002020013331202001
521131331040001342
6422521241522401
733663154311436
oct5021007754201
91201701401611
10345881172097
111237619a4a4a
125704aaa3401
1326802473656
1412a52829b8d
158ee565a3b7
hex50881fd881

345881172097 has 2 divisors, whose sum is σ = 345881172098. Its totient is φ = 345881172096.

The previous prime is 345881172061. The next prime is 345881172149. The reversal of 345881172097 is 790271188543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262885900176 + 82995271921 = 512724^2 + 288089^2 .

It is a cyclic number.

It is not a de Polignac number, because 345881172097 - 27 = 345881171969 is a prime.

It is a super-2 number, since 2×3458811720972 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (345881172017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172940586048 + 172940586049.

It is an arithmetic number, because the mean of its divisors is an integer number (172940586049).

Almost surely, 2345881172097 is an apocalyptic number.

It is an amenable number.

345881172097 is a deficient number, since it is larger than the sum of its proper divisors (1).

345881172097 is an equidigital number, since it uses as much as digits as its factorization.

345881172097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 345881172097 in words is "three hundred forty-five billion, eight hundred eighty-one million, one hundred seventy-two thousand, ninety-seven".