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162497000161 is a prime number
BaseRepresentation
bin1001011101010110010…
…0110111001011100001
3120112102200202220021101
42113111210313023201
510130243213001121
6202352230354401
714511553466026
oct2272544671341
9515380686241
10162497000161
1162a07358361
12275ababba01
1312428688802
147c173c354d
154360cc4491
hex25d59372e1

162497000161 has 2 divisors, whose sum is σ = 162497000162. Its totient is φ = 162497000160.

The previous prime is 162497000101. The next prime is 162497000219. The reversal of 162497000161 is 161000794261.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147990243025 + 14506757136 = 384695^2 + 120444^2 .

It is a cyclic number.

It is not a de Polignac number, because 162497000161 - 211 = 162496998113 is a prime.

It is a super-3 number, since 3×1624970001613 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 162497000161.

It is not a weakly prime, because it can be changed into another prime (162497000101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81248500080 + 81248500081.

It is an arithmetic number, because the mean of its divisors is an integer number (81248500081).

Almost surely, 2162497000161 is an apocalyptic number.

It is an amenable number.

162497000161 is a deficient number, since it is larger than the sum of its proper divisors (1).

162497000161 is an equidigital number, since it uses as much as digits as its factorization.

162497000161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 162497000161 in words is "one hundred sixty-two billion, four hundred ninety-seven million, one hundred sixty-one", and thus it is an aban number.