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78124131301 is a prime number
BaseRepresentation
bin100100011000010001…
…1111010001111100101
321110122121100001220111
41020300203322033211
52234444234200201
655520103133021
75433663105436
oct1106043721745
9243577301814
1078124131301
1130150043177
1213183744171
1374a05ccc38
143ad199348d
15207397ab51
hex12308fa3e5

78124131301 has 2 divisors, whose sum is σ = 78124131302. Its totient is φ = 78124131300.

The previous prime is 78124131299. The next prime is 78124131311. The reversal of 78124131301 is 10313142187.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75243233025 + 2880898276 = 274305^2 + 53674^2 .

It is an emirp because it is prime and its reverse (10313142187) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 78124131301 - 21 = 78124131299 is a prime.

It is a super-2 number, since 2×781241313012 (a number of 23 digits) contains 22 as substring.

Together with 78124131299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78124131311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39062065650 + 39062065651.

It is an arithmetic number, because the mean of its divisors is an integer number (39062065651).

Almost surely, 278124131301 is an apocalyptic number.

It is an amenable number.

78124131301 is a deficient number, since it is larger than the sum of its proper divisors (1).

78124131301 is an equidigital number, since it uses as much as digits as its factorization.

78124131301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 78124131301 its reverse (10313142187), we get a palindrome (88437273488).

The spelling of 78124131301 in words is "seventy-eight billion, one hundred twenty-four million, one hundred thirty-one thousand, three hundred one".