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1823215532141 is a prime number
BaseRepresentation
bin11010100010000000000…
…111010011100001101101
320110022001000200101120102
4122202000013103201231
5214332421134012031
63513323524200445
7245502660215153
oct32420007234155
96408030611512
101823215532141
11643248700593
12255427239125
13102c0bb69283
146435bb633d3
153265cc3e7cb
hex1a8801d386d

1823215532141 has 2 divisors, whose sum is σ = 1823215532142. Its totient is φ = 1823215532140.

The previous prime is 1823215532119. The next prime is 1823215532221. The reversal of 1823215532141 is 1412355123281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1749215211241 + 74000320900 = 1322579^2 + 272030^2 .

It is an emirp because it is prime and its reverse (1412355123281) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1823215532141 is a prime.

It is a super-3 number, since 3×18232155321413 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1823215532095 and 1823215532104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1823215532111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 911607766070 + 911607766071.

It is an arithmetic number, because the mean of its divisors is an integer number (911607766071).

Almost surely, 21823215532141 is an apocalyptic number.

It is an amenable number.

1823215532141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1823215532141 is an equidigital number, since it uses as much as digits as its factorization.

1823215532141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 38.

The spelling of 1823215532141 in words is "one trillion, eight hundred twenty-three billion, two hundred fifteen million, five hundred thirty-two thousand, one hundred forty-one".