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312053540441 is a prime number
BaseRepresentation
bin1001000101001111101…
…01110010011001011001
31002211110112210022202212
410202213311302121121
520103041201243231
6355204434204505
731354656220556
oct4424765623131
91084415708685
10312053540441
111103830a7675
125058a123735
13235710bb166
1411163cd9a2d
1581b59a842b
hex48a7d72659

312053540441 has 2 divisors, whose sum is σ = 312053540442. Its totient is φ = 312053540440.

The previous prime is 312053540429. The next prime is 312053540467. The reversal of 312053540441 is 144045350213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259688083216 + 52365457225 = 509596^2 + 228835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312053540441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312053540398 and 312053540407.

It is not a weakly prime, because it can be changed into another prime (312053540341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156026770220 + 156026770221.

It is an arithmetic number, because the mean of its divisors is an integer number (156026770221).

Almost surely, 2312053540441 is an apocalyptic number.

It is an amenable number.

312053540441 is a deficient number, since it is larger than the sum of its proper divisors (1).

312053540441 is an equidigital number, since it uses as much as digits as its factorization.

312053540441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 312053540441 its reverse (144045350213), we get a palindrome (456098890654).

The spelling of 312053540441 in words is "three hundred twelve billion, fifty-three million, five hundred forty thousand, four hundred forty-one".