Search a number
-
+
317137640401 is a prime number
BaseRepresentation
bin1001001110101101110…
…00000101101111010001
31010022120212102100210101
410213112320011233101
520143444213443101
6401405132132401
731624652315461
oct4472670055721
91108525370711
10317137640401
11112551a2617a
1251568907101
1323ba14b432a
14114c720dba1
1583b1ec3401
hex49d6e05bd1

317137640401 has 2 divisors, whose sum is σ = 317137640402. Its totient is φ = 317137640400.

The previous prime is 317137640399. The next prime is 317137640471. The reversal of 317137640401 is 104046731713.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 315704639376 + 1433001025 = 561876^2 + 37855^2 .

It is an emirp because it is prime and its reverse (104046731713) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 317137640401 - 21 = 317137640399 is a prime.

It is a super-2 number, since 2×3171376404012 (a number of 24 digits) contains 22 as substring.

Together with 317137640399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (317137640471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158568820200 + 158568820201.

It is an arithmetic number, because the mean of its divisors is an integer number (158568820201).

Almost surely, 2317137640401 is an apocalyptic number.

It is an amenable number.

317137640401 is a deficient number, since it is larger than the sum of its proper divisors (1).

317137640401 is an equidigital number, since it uses as much as digits as its factorization.

317137640401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 317137640401 in words is "three hundred seventeen billion, one hundred thirty-seven million, six hundred forty thousand, four hundred one".