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105410122434 = 2326196001933
BaseRepresentation
bin110001000101011101…
…1101101001011000010
3101002002012202001000200
41202022323231023002
53211334442404214
6120231424430030
710421106154131
oct1421273551302
9332065661020
10105410122434
11407822a2171
1218519778316
139c2b615116
14515d79d918
152b1e1a3d09
hex188aeed2c2

105410122434 has 24 divisors (see below), whose sum is σ = 232132676412. Its totient is φ = 34560695520.

The previous prime is 105410122409. The next prime is 105410122453. The reversal of 105410122434 is 434221014501.

105410122434 is a `hidden beast` number, since 1 + 0 + 5 + 410 + 1 + 2 + 243 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83201671809 + 22208450625 = 288447^2 + 149025^2 .

It is a super-2 number, since 2×1054101224342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105410122398 and 105410122407.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47999869 + ... + 48002064.

Almost surely, 2105410122434 is an apocalyptic number.

105410122434 is an abundant number, since it is smaller than the sum of its proper divisors (126722553978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105410122434 is a wasteful number, since it uses less digits than its factorization.

105410122434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96002002 (or 96001999 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 105410122434 its reverse (434221014501), we get a palindrome (539631136935).

The spelling of 105410122434 in words is "one hundred five billion, four hundred ten million, one hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 96001933 192003866 288005799 576011598 864017397 1728034794 5856117913 11712235826 17568353739 35136707478 52705061217 105410122434