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312434134301 is a prime number
BaseRepresentation
bin1001000101111101000…
…01101000110100011101
31002212110001221111101202
410202332201220310131
520104331114244201
6355310311445245
731400260215632
oct4427641506435
91085401844352
10312434134301
11110558a18453
1250675686825
1323601bc6723
141119c68c189
1581d90d6c6b
hex48be868d1d

312434134301 has 2 divisors, whose sum is σ = 312434134302. Its totient is φ = 312434134300.

The previous prime is 312434134297. The next prime is 312434134391. The reversal of 312434134301 is 103431434213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247181986276 + 65252148025 = 497174^2 + 255445^2 .

It is a cyclic number.

It is not a de Polignac number, because 312434134301 - 22 = 312434134297 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312434134391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156217067150 + 156217067151.

It is an arithmetic number, because the mean of its divisors is an integer number (156217067151).

Almost surely, 2312434134301 is an apocalyptic number.

It is an amenable number.

312434134301 is a deficient number, since it is larger than the sum of its proper divisors (1).

312434134301 is an equidigital number, since it uses as much as digits as its factorization.

312434134301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 312434134301 its reverse (103431434213), we get a palindrome (415865568514).

The spelling of 312434134301 in words is "three hundred twelve billion, four hundred thirty-four million, one hundred thirty-four thousand, three hundred one".