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312412000213189 is a prime number
BaseRepresentation
bin100011100001000110001011…
…0010010111101100011000101
31111222011021222110010001102201
41013002030112102331203011
5311422024234023310224
63024240031440434501
7122543010413515642
oct10702142622754305
91458137873101381
10312412000213189
11905a9204613488
122b057656918a31
131054242c6405a6
145720b7024cdc9
15261b84693ba44
hex11c23164bd8c5

312412000213189 has 2 divisors, whose sum is σ = 312412000213190. Its totient is φ = 312412000213188.

The previous prime is 312412000213073. The next prime is 312412000213199. The reversal of 312412000213189 is 981312000214213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243756557417025 + 68655442796164 = 15612705^2 + 8285858^2 .

It is a cyclic number.

It is not a de Polignac number, because 312412000213189 - 227 = 312411865995461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312412000213199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206000106594 + 156206000106595.

It is an arithmetic number, because the mean of its divisors is an integer number (156206000106595).

Almost surely, 2312412000213189 is an apocalyptic number.

It is an amenable number.

312412000213189 is a deficient number, since it is larger than the sum of its proper divisors (1).

312412000213189 is an equidigital number, since it uses as much as digits as its factorization.

312412000213189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 312412000213189 in words is "three hundred twelve trillion, four hundred twelve billion, two hundred thirteen thousand, one hundred eighty-nine".