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10196601601 is a prime number
BaseRepresentation
bin10010111111100001…
…11100101100000001
3222022121201000211011
421133300330230001
5131340312222401
64403444320521
7510452453314
oct113760745401
928277630734
1010196601601
11436279677a
121b869a3141
13c66654994
146ca2dc97b
153ea295451
hex25fc3cb01

10196601601 has 2 divisors, whose sum is σ = 10196601602. Its totient is φ = 10196601600.

The previous prime is 10196601589. The next prime is 10196601629. The reversal of 10196601601 is 10610669101.

It is a happy number.

10196601601 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., 6601400001 + 3595201600 = 81249^2 + 59960^2 .

It is an emirp because it is prime and its reverse (10610669101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10910996101 and 10169901901.

It is a cyclic number.

It is not a de Polignac number, because 10196601601 - 219 = 10196077313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10196601631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5098300800 + 5098300801.

It is an arithmetic number, because the mean of its divisors is an integer number (5098300801).

Almost surely, 210196601601 is an apocalyptic number.

It is an amenable number.

10196601601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10196601601 is an equidigital number, since it uses as much as digits as its factorization.

10196601601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 10196601601 in words is "ten billion, one hundred ninety-six million, six hundred one thousand, six hundred one".