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2331133021081 is a prime number
BaseRepresentation
bin100001111011000010010…
…110110000101110011001
322020212001200001012211001
4201323002112300232121
5301143130023133311
64542524022505001
7330263435512624
oct41730226605631
98225050035731
102331133021081
1181969a8aa677
12317957895161
1313ba953cab37
1480b826d2dbb
15409889c04c1
hex21ec25b0b99

2331133021081 has 2 divisors, whose sum is σ = 2331133021082. Its totient is φ = 2331133021080.

The previous prime is 2331133021067. The next prime is 2331133021097. The reversal of 2331133021081 is 1801203311332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2278424208025 + 52708813056 = 1509445^2 + 229584^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2331133021081 is a prime.

It is a super-3 number, since 3×23311330210813 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2331133021181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1165566510540 + 1165566510541.

It is an arithmetic number, because the mean of its divisors is an integer number (1165566510541).

Almost surely, 22331133021081 is an apocalyptic number.

It is an amenable number.

2331133021081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331133021081 is an equidigital number, since it uses as much as digits as its factorization.

2331133021081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 2331133021081 in words is "two trillion, three hundred thirty-one billion, one hundred thirty-three million, twenty-one thousand, eighty-one".