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2972218097 is a prime number
BaseRepresentation
bin1011000100101000…
…0111001011110001
321200010202022201202
42301022013023301
522041341434342
61210532540545
7133440302612
oct26112071361
97603668652
102972218097
1112958154a2
126ab481755
13384a08044
14202a53c09
15125e07332
hexb12872f1

2972218097 has 2 divisors, whose sum is σ = 2972218098. Its totient is φ = 2972218096.

The previous prime is 2972218087. The next prime is 2972218147. The reversal of 2972218097 is 7908122792.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1541033536 + 1431184561 = 39256^2 + 37831^2 .

It is a cyclic number.

It is not a de Polignac number, because 2972218097 - 218 = 2971955953 is a prime.

It is a super-2 number, since 2×29722180972 = 17668160832268602818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2972218087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1486109048 + 1486109049.

It is an arithmetic number, because the mean of its divisors is an integer number (1486109049).

Almost surely, 22972218097 is an apocalyptic number.

It is an amenable number.

2972218097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2972218097 is an equidigital number, since it uses as much as digits as its factorization.

2972218097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 47.

The square root of 2972218097 is about 54518.0529457904. The cubic root of 2972218097 is about 1437.7837076025.

The spelling of 2972218097 in words is "two billion, nine hundred seventy-two million, two hundred eighteen thousand, ninety-seven".