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2146189893121 is a prime number
BaseRepresentation
bin11111001110110010111…
…000101101111000000001
321121011200122220212210001
4133032302320231320001
5240130344103034441
64321540201440001
7311025405044011
oct37166270557001
97534618825701
102146189893121
1175821527527a
122a7b427a0001
1312750064b001
1475c3a1dbc41
153ac62346731
hex1f3b2e2de01

2146189893121 has 2 divisors, whose sum is σ = 2146189893122. Its totient is φ = 2146189893120.

The previous prime is 2146189893101. The next prime is 2146189893217. The reversal of 2146189893121 is 1213989816412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2134009680625 + 12180212496 = 1460825^2 + 110364^2 .

It is a cyclic number.

It is not a de Polignac number, because 2146189893121 - 219 = 2146189368833 is a prime.

It is a super-2 number, since 2×21461898931212 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2146189893101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1073094946560 + 1073094946561.

It is an arithmetic number, because the mean of its divisors is an integer number (1073094946561).

Almost surely, 22146189893121 is an apocalyptic number.

It is an amenable number.

2146189893121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2146189893121 is an equidigital number, since it uses as much as digits as its factorization.

2146189893121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1492992, while the sum is 55.

The spelling of 2146189893121 in words is "two trillion, one hundred forty-six billion, one hundred eighty-nine million, eight hundred ninety-three thousand, one hundred twenty-one".