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105354202433 = 432409139313
BaseRepresentation
bin110001000011110011…
…0011000110101000001
3101001221022112000012112
41202013212120311001
53211231133434213
6120222110105105
710416526642064
oct1420746306501
9331838460175
10105354202433
1140753778697
1218502aab195
139c1cb6626c
1451561a48db
152b19309ea8
hex1887998d41

105354202433 has 12 divisors (see below), whose sum is σ = 108125774820. Its totient is φ = 102651768576.

The previous prime is 105354202409. The next prime is 105354202439. The reversal of 105354202433 is 334202453501.

It can be written as a sum of positive squares in 2 ways, for example, as 94155695104 + 11198507329 = 306848^2 + 105823^2 .

It is not a de Polignac number, because 105354202433 - 236 = 36634725697 is a prime.

It is a super-2 number, since 2×1053542024332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105354202433.

It is not an unprimeable number, because it can be changed into a prime (105354202439) 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, 686585 + ... + 825897.

It is an arithmetic number, because the mean of its divisors is an integer number (9010481235).

Almost surely, 2105354202433 is an apocalyptic number.

It is an amenable number.

105354202433 is a deficient number, since it is larger than the sum of its proper divisors (2771572387).

105354202433 is an equidigital number, since it uses as much as digits as its factorization.

105354202433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139808 (or 139765 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 105354202433 its reverse (334202453501), we get a palindrome (439556655934).

The spelling of 105354202433 in words is "one hundred five billion, three hundred fifty-four million, two hundred two thousand, four hundred thirty-three".

Divisors: 1 43 409 1849 17587 139313 756241 5990459 56979017 257589737 2450097731 105354202433