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105431550390 = 23251171461671
BaseRepresentation
bin110001000110000110…
…1011100100110110110
3101002010201001200122200
41202030031130212312
53211410434103030
6120233512005330
710421456251245
oct1421415344666
9332121050580
10105431550390
11407933a8321
1218524990846
139c32ba849a
14516257a95c
152b20ed7d60
hex188c35c9b6

105431550390 has 24 divisors (see below), whose sum is σ = 274122031248. Its totient is φ = 28115080080.

The previous prime is 105431550379. The next prime is 105431550391. The reversal of 105431550390 is 93055134501.

It is a happy number.

105431550390 is a `hidden beast` number, since 1 + 0 + 54 + 3 + 15 + 503 + 90 = 666.

It is a super-2 number, since 2×1054315503902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105431550391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585730746 + ... + 585730925.

It is an arithmetic number, because the mean of its divisors is an integer number (11421751302).

Almost surely, 2105431550390 is an apocalyptic number.

105431550390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105431550390 is an abundant number, since it is smaller than the sum of its proper divisors (168690480858).

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

105431550390 is a wasteful number, since it uses less digits than its factorization.

105431550390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171461684 (or 1171461681 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 105431550390 its reverse (93055134501), we get a palindrome (198486684891).

The spelling of 105431550390 in words is "one hundred five billion, four hundred thirty-one million, five hundred fifty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1171461671 2342923342 3514385013 5857308355 7028770026 10543155039 11714616710 17571925065 21086310078 35143850130 52715775195 105431550390