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106160410241 = 11313136719541
BaseRepresentation
bin110001011011110100…
…1110100111010000001
3101011000111112121101222
41202313221310322001
53214404031111431
6120434110004425
710445516412134
oct1426751647201
9334014477358
10106160410241
1141027869536
12186a8aa6715
13a01abb08c2
1451d12a821b
152b64eab57b
hex18b7a74e81

106160410241 has 16 divisors (see below), whose sum is σ = 108217029888. Its totient is φ = 104127878400.

The previous prime is 106160410231. The next prime is 106160410261. The reversal of 106160410241 is 142014061601.

It is a cyclic number.

It is not a de Polignac number, because 106160410241 - 230 = 105086668417 is a prime.

It is a super-2 number, since 2×1061604102412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106160410241.

It is not an unprimeable number, because it can be changed into a prime (106160410231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5422931 + ... + 5442471.

It is an arithmetic number, because the mean of its divisors is an integer number (6763564368).

Almost surely, 2106160410241 is an apocalyptic number.

It is an amenable number.

106160410241 is a deficient number, since it is larger than the sum of its proper divisors (2056619647).

106160410241 is a wasteful number, since it uses less digits than its factorization.

106160410241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20152.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 106160410241 its reverse (142014061601), we get a palindrome (248174471842).

The spelling of 106160410241 in words is "one hundred six billion, one hundred sixty million, four hundred ten thousand, two hundred forty-one".

Divisors: 1 113 131 367 14803 19541 41471 48077 2208133 2559871 5432701 7171547 289265423 810384811 939472657 106160410241