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105434254133 = 1317477078073
BaseRepresentation
bin110001000110001011…
…1110000101100110101
3101002010220011001111022
41202030113300230311
53211412132113013
6120234045550525
710421521242005
oct1421427605465
9332126131438
10105434254133
114079498471a
1218525875445
139c33614030
145162a82005
152b2136e008
hex188c5f0b35

105434254133 has 8 divisors (see below), whose sum is σ = 120223674648. Its totient is φ = 91598989824.

The previous prime is 105434254129. The next prime is 105434254181. The reversal of 105434254133 is 331452434501.

It can be written as a sum of positive squares in 4 ways, for example, as 4829833009 + 100604421124 = 69497^2 + 317182^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105434254133 - 22 = 105434254129 is a prime.

It is a super-2 number, since 2×1054342541332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105434254093 and 105434254102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105434254103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238538816 + ... + 238539257.

It is an arithmetic number, because the mean of its divisors is an integer number (15027959331).

Almost surely, 2105434254133 is an apocalyptic number.

105434254133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105434254133 is a deficient number, since it is larger than the sum of its proper divisors (14789420515).

105434254133 is a wasteful number, since it uses less digits than its factorization.

105434254133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477078103.

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 105434254133 its reverse (331452434501), we get a palindrome (436886688634).

The spelling of 105434254133 in words is "one hundred five billion, four hundred thirty-four million, two hundred fifty-four thousand, one hundred thirty-three".

Divisors: 1 13 17 221 477078073 6202014949 8110327241 105434254133