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312542001757 is a prime number
BaseRepresentation
bin1001000110001001111…
…01000111101001011101
31002212201120220201201201
410203010331013221131
520110041223024012
6355325123435501
731403040116206
oct4430475075135
91085646821651
10312542001757
111106038a2907
12506a5825b91
132361b36321b
14111acb2a5ad
1581e37e2857
hex48c4f47a5d

312542001757 has 2 divisors, whose sum is σ = 312542001758. Its totient is φ = 312542001756.

The previous prime is 312542001719. The next prime is 312542001787. The reversal of 312542001757 is 757100245213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309819144996 + 2722856761 = 556614^2 + 52181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312542001757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312542001787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156271000878 + 156271000879.

It is an arithmetic number, because the mean of its divisors is an integer number (156271000879).

Almost surely, 2312542001757 is an apocalyptic number.

It is an amenable number.

312542001757 is a deficient number, since it is larger than the sum of its proper divisors (1).

312542001757 is an equidigital number, since it uses as much as digits as its factorization.

312542001757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 312542001757 in words is "three hundred twelve billion, five hundred forty-two million, one thousand, seven hundred fifty-seven".