Search a number
-
+
105356034141 = 31717311941067
BaseRepresentation
bin110001000011110110…
…1011000000001011101
3101001221102222001211120
41202013231120001131
53211232121043031
6120222213241153
710416551341251
oct1420755300135
9331842861746
10105356034141
11407548098a6
12185036331b9
139c20357c07
145156520261
152b1956ca96
hex1887b5805d

105356034141 has 16 divisors (see below), whose sum is σ = 149597699904. Its totient is φ = 65723627264.

The previous prime is 105356034127. The next prime is 105356034169. The reversal of 105356034141 is 141430653501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105356034141 - 214 = 105356017757 is a prime.

It is a super-2 number, since 2×1053560341412 (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 (105356034191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5961711 + ... + 5979356.

It is an arithmetic number, because the mean of its divisors is an integer number (9349856244).

Almost surely, 2105356034141 is an apocalyptic number.

It is an amenable number.

105356034141 is a deficient number, since it is larger than the sum of its proper divisors (44241665763).

105356034141 is a wasteful number, since it uses less digits than its factorization.

105356034141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11941260.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 105356034141 its reverse (141430653501), we get a palindrome (246786687642).

The spelling of 105356034141 in words is "one hundred five billion, three hundred fifty-six million, thirty-four thousand, one hundred forty-one".

Divisors: 1 3 17 51 173 519 2941 8823 11941067 35823201 202998139 608994417 2065804591 6197413773 35118678047 105356034141