Search a number
-
+
12340578729133 is a prime number
BaseRepresentation
bin1011001110010100001111…
…0011111011110010101101
31121200202012011001011011101
42303211003303323302231
53104142001123313013
642125103354123101
72412402021313534
oct263450363736255
947622164034141
1012340578729133
113a28678a79986
12147382aa20491
136b693345c905
143094040d931b
15166017cd18dd
hexb3943cfbcad

12340578729133 has 2 divisors, whose sum is σ = 12340578729134. Its totient is φ = 12340578729132.

The previous prime is 12340578729097. The next prime is 12340578729169. The reversal of 12340578729133 is 33192787504321.

It is a balanced prime because it is at equal distance from previous prime (12340578729097) and next prime (12340578729169).

It can be written as a sum of positive squares in only one way, i.e., 12079704994569 + 260873734564 = 3475587^2 + 510758^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12340578729133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12340578729173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6170289364566 + 6170289364567.

It is an arithmetic number, because the mean of its divisors is an integer number (6170289364567).

Almost surely, 212340578729133 is an apocalyptic number.

It is an amenable number.

12340578729133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12340578729133 is an equidigital number, since it uses as much as digits as its factorization.

12340578729133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 12340578729133 in words is "twelve trillion, three hundred forty billion, five hundred seventy-eight million, seven hundred twenty-nine thousand, one hundred thirty-three".