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105131534033 = 337311963009
BaseRepresentation
bin110000111101001010…
…0111110011011010001
3101001100210112021120202
41201322110332123101
53210302133042113
6120144033344545
710411154203061
oct1417224763321
9331323467522
10105131534033
114064a012619
1218460408155
139bb59a3106
1451347a13a1
152b049c4258
hex187a53e6d1

105131534033 has 4 divisors (see below), whose sum is σ = 105443497380. Its totient is φ = 104819570688.

The previous prime is 105131534021. The next prime is 105131534041. The reversal of 105131534033 is 330435131501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 58627905424 + 46503628609 = 242132^2 + 215647^2 .

It is a cyclic number.

It is not a de Polignac number, because 105131534033 - 210 = 105131533009 is a prime.

It is a super-2 number, since 2×1051315340332 (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 = 105131533987 and 105131534005.

It is not an unprimeable number, because it can be changed into a prime (105131534093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155981168 + ... + 155981841.

It is an arithmetic number, because the mean of its divisors is an integer number (26360874345).

Almost surely, 2105131534033 is an apocalyptic number.

It is an amenable number.

105131534033 is a deficient number, since it is larger than the sum of its proper divisors (311963347).

105131534033 is an equidigital number, since it uses as much as digits as its factorization.

105131534033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311963346.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 105131534033 its reverse (330435131501), we get a palindrome (435566665534).

The spelling of 105131534033 in words is "one hundred five billion, one hundred thirty-one million, five hundred thirty-four thousand, thirty-three".

Divisors: 1 337 311963009 105131534033