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105245415153 = 341299326113
BaseRepresentation
bin110001000000100011…
…1011001011011110001
3101001122201211001010000
41202001013121123301
53211020311241103
6120203222300213
710414036161024
oct1420107313361
9331581731100
10105245415153
11406a832514a
1218492587669
139c03466ba8
1451459671bb
152b0e9bbaa3
hex18811d96f1

105245415153 has 10 divisors (see below), whose sum is σ = 157218459794. Its totient is φ = 70163610048.

The previous prime is 105245415151. The next prime is 105245415157. The reversal of 105245415153 is 351514542501.

105245415153 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 454 + 151 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53549662464 + 51695752689 = 231408^2 + 227367^2 .

It is not a de Polignac number, because 105245415153 - 21 = 105245415151 is a prime.

It is a super-2 number, since 2×1052454151532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105245415151) 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 in 9 ways as a sum of consecutive naturals, for example, 649662976 + ... + 649663137.

Almost surely, 2105245415153 is an apocalyptic number.

It is an amenable number.

105245415153 is a deficient number, since it is larger than the sum of its proper divisors (51973044641).

105245415153 is an equidigital number, since it uses as much as digits as its factorization.

105245415153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299326125 (or 1299326116 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 105245415153 its reverse (351514542501), we get a palindrome (456759957654).

The spelling of 105245415153 in words is "one hundred five billion, two hundred forty-five million, four hundred fifteen thousand, one hundred fifty-three".

Divisors: 1 3 9 27 81 1299326113 3897978339 11693935017 35081805051 105245415153