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105354244041 = 3173176516623
BaseRepresentation
bin110001000011110011…
…0100010111111001001
3101001221022121010021120
41202013212202333021
53211231141302131
6120222111025453
710416530204304
oct1420746427711
9331838533246
10105354244041
11407537a6982
1218502b0b289
139c1cb7c197
1451561b5b3b
152b19317496
hex18879a2fc9

105354244041 has 16 divisors (see below), whose sum is σ = 149204623104. Its totient is φ = 65896081664.

The previous prime is 105354244033. The next prime is 105354244063. The reversal of 105354244041 is 140442453501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105354244041 - 23 = 105354244033 is a prime.

It is a super-2 number, since 2×1053542440412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105354243993 and 105354244011.

It is not an unprimeable number, because it can be changed into a prime (105354243041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3242145 + ... + 3274478.

It is an arithmetic number, because the mean of its divisors is an integer number (9325288944).

Almost surely, 2105354244041 is an apocalyptic number.

It is an amenable number.

105354244041 is a deficient number, since it is larger than the sum of its proper divisors (43850379063).

105354244041 is a wasteful number, since it uses less digits than its factorization.

105354244041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516960.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 105354244041 its reverse (140442453501), we get a palindrome (245796697542).

The spelling of 105354244041 in words is "one hundred five billion, three hundred fifty-four million, two hundred forty-four thousand, forty-one".

Divisors: 1 3 17 51 317 951 5389 16167 6516623 19549869 110782591 332347773 2065769491 6197308473 35118081347 105354244041