Search a number
-
+
34973217131 is a prime number
BaseRepresentation
bin100000100100100100…
…001111000101101011
310100021100021111202012
4200210210033011223
51033111120422011
624022205230135
72345445304106
oct404444170553
9110240244665
1034973217131
1113917518736
12694056234b
1333b4807128
14199ab3773d
15d9a53ea8b
hex82490f16b

34973217131 has 2 divisors, whose sum is σ = 34973217132. Its totient is φ = 34973217130.

The previous prime is 34973217121. The next prime is 34973217143. The reversal of 34973217131 is 13171237943.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34973217131 - 26 = 34973217067 is a prime.

It is a super-3 number, since 3×349732171313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (34973217121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17486608565 + 17486608566.

It is an arithmetic number, because the mean of its divisors is an integer number (17486608566).

Almost surely, 234973217131 is an apocalyptic number.

34973217131 is a deficient number, since it is larger than the sum of its proper divisors (1).

34973217131 is an equidigital number, since it uses as much as digits as its factorization.

34973217131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 95256, while the sum is 41.

The spelling of 34973217131 in words is "thirty-four billion, nine hundred seventy-three million, two hundred seventeen thousand, one hundred thirty-one".