Search a number
-
+
127803901681 is a prime number
BaseRepresentation
bin111011100000110110…
…1001100011011110001
3110012212212120220002001
41313001231030123301
54043220244323211
6134413505054001
712143046145231
oct1670155143361
9405785526061
10127803901681
114a223a74a45
1220929327301
13c089c0b081
146285965cc1
1534d0167ac1
hex1dc1b4c6f1

127803901681 has 2 divisors, whose sum is σ = 127803901682. Its totient is φ = 127803901680.

The previous prime is 127803901607. The next prime is 127803901703. The reversal of 127803901681 is 186109308721.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96975565281 + 30828336400 = 311409^2 + 175580^2 .

It is a cyclic number.

It is not a de Polignac number, because 127803901681 - 213 = 127803893489 is a prime.

It is a super-2 number, since 2×1278039016812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127803901601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63901950840 + 63901950841.

It is an arithmetic number, because the mean of its divisors is an integer number (63901950841).

Almost surely, 2127803901681 is an apocalyptic number.

It is an amenable number.

127803901681 is a deficient number, since it is larger than the sum of its proper divisors (1).

127803901681 is an equidigital number, since it uses as much as digits as its factorization.

127803901681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 127803901681 in words is "one hundred twenty-seven billion, eight hundred three million, nine hundred one thousand, six hundred eighty-one".