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100271461141 is a prime number
BaseRepresentation
bin101110101100010100…
…1010001001100010101
3100120211002102222221001
41131120221101030111
53120323443224031
6114021501223301
710146551233255
oct1353051211425
9316732388831
10100271461141
1139585697955
1217524861b31
1395bcb27637
144bd3125965
15291ceac861
hex1758a51315

100271461141 has 2 divisors, whose sum is σ = 100271461142. Its totient is φ = 100271461140.

The previous prime is 100271461123. The next prime is 100271461177. The reversal of 100271461141 is 141164172001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63194418225 + 37077042916 = 251385^2 + 192554^2 .

It is a cyclic number.

It is not a de Polignac number, because 100271461141 - 27 = 100271461013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100271461841) 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, 50135730570 + 50135730571.

It is an arithmetic number, because the mean of its divisors is an integer number (50135730571).

Almost surely, 2100271461141 is an apocalyptic number.

It is an amenable number.

100271461141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100271461141 is an equidigital number, since it uses as much as digits as its factorization.

100271461141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 100271461141 in words is "one hundred billion, two hundred seventy-one million, four hundred sixty-one thousand, one hundred forty-one".