Search a number
-
+
10461452634001 is a prime number
BaseRepresentation
bin1001100000111011111100…
…1010110000011110010001
31101001002211121202212210201
42120032333022300132101
52332400023333242001
634125531444255201
72126546356123465
oct230167712603621
941032747685721
1010461452634001
11337374a311946
12120b5bb3a1501
135ab684170795
142824a0a784a5
151321d687e501
hex983bf2b0791

10461452634001 has 2 divisors, whose sum is σ = 10461452634002. Its totient is φ = 10461452634000.

The previous prime is 10461452633981. The next prime is 10461452634023. The reversal of 10461452634001 is 10043625416401.

10461452634001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6194125440000 + 4267327194001 = 2488800^2 + 2065751^2 .

It is a cyclic number.

It is not a de Polignac number, because 10461452634001 - 213 = 10461452625809 is a prime.

It is a super-2 number, since 2×104614526340012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10461452634041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5230726317000 + 5230726317001.

It is an arithmetic number, because the mean of its divisors is an integer number (5230726317001).

Almost surely, 210461452634001 is an apocalyptic number.

It is an amenable number.

10461452634001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10461452634001 is an equidigital number, since it uses as much as digits as its factorization.

10461452634001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 10461452634001 in words is "ten trillion, four hundred sixty-one billion, four hundred fifty-two million, six hundred thirty-four thousand, one".