Search a number
-
+
106135440287887 is a prime number
BaseRepresentation
bin11000001000011110010101…
…001101110110100010001111
3111220210110010022122120210201
4120020132111031312202033
5102402410340203203022
61013421540445114331
731233014103124423
oct3010362515664217
9456713108576721
10106135440287887
11308aa87310854a
12baa19142589a7
13472b6b54b530a
141c2cda881cb83
15c40c5dee3127
hex60879537688f

106135440287887 has 2 divisors, whose sum is σ = 106135440287888. Its totient is φ = 106135440287886.

The previous prime is 106135440287873. The next prime is 106135440287897. The reversal of 106135440287887 is 788782044531601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106135440287887 - 211 = 106135440285839 is a prime.

It is a super-2 number, since 2×1061354402878872 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106135440287897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53067720143943 + 53067720143944.

It is an arithmetic number, because the mean of its divisors is an integer number (53067720143944).

Almost surely, 2106135440287887 is an apocalyptic number.

106135440287887 is a deficient number, since it is larger than the sum of its proper divisors (1).

106135440287887 is an equidigital number, since it uses as much as digits as its factorization.

106135440287887 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72253440, while the sum is 64.

The spelling of 106135440287887 in words is "one hundred six trillion, one hundred thirty-five billion, four hundred forty million, two hundred eighty-seven thousand, eight hundred eighty-seven".