Search a number
-
+
105565424313453 = 31315772117161987
BaseRepresentation
bin11000000000001011011101…
…100111011110010001101101
3111211202221210221000211212220
4120000023131213132101231
5102314040442111012303
61012304030400345553
731143564424233516
oct3000133547362155
9454687727024786
10105565424313453
1130700054a38175
12ba0b3530152b9
1346b9a13818b90
141c0d572825a0d
15c30eeb696053
hex6002dd9de46d

105565424313453 has 16 divisors (see below), whose sum is σ = 151582091994816. Its totient is φ = 64962922366080.

The previous prime is 105565424313409. The next prime is 105565424313509. The reversal of 105565424313453 is 354313424565501.

It is not a de Polignac number, because 105565424313453 - 217 = 105565424182381 is a prime.

It is a super-2 number, since 2×1055654243134532 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105565424313396 and 105565424313405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105565424313403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2429875 + ... + 14732112.

It is an arithmetic number, because the mean of its divisors is an integer number (9473880749676).

Almost surely, 2105565424313453 is an apocalyptic number.

105565424313453 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105565424313453 is a deficient number, since it is larger than the sum of its proper divisors (46016667681363).

105565424313453 is a wasteful number, since it uses less digits than its factorization.

105565424313453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17319724.

The product of its (nonzero) digits is 12960000, while the sum is 51.

Adding to 105565424313453 its reverse (354313424565501), we get a palindrome (459878848878954).

The spelling of 105565424313453 in words is "one hundred five trillion, five hundred sixty-five billion, four hundred twenty-four million, three hundred thirteen thousand, four hundred fifty-three".

Divisors: 1 3 13 39 157721 473163 2050373 6151119 17161987 51485961 223105831 669317493 2706805751627 8120417254881 35188474771151 105565424313453