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105450242511 = 32910691133837
BaseRepresentation
bin110001000110101010…
…0110000000111001111
3101002012000020100102110
41202031110300013033
53211430230230021
6120235420355103
710422104162235
oct1421524600717
9332160210373
10105450242511
11407a2a04a59
121852b0a5a93
139c36a21503
145164c44955
152b2297b476
hex188d5301cf

105450242511 has 16 divisors (see below), whose sum is σ = 145584799200. Its totient is φ = 67812463488.

The previous prime is 105450242449. The next prime is 105450242549. The reversal of 105450242511 is 115242054501.

It is not a de Polignac number, because 105450242511 - 210 = 105450241487 is a prime.

It is a super-2 number, since 2×1054502425112 (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 (105450242011) 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, 473916 + ... + 659921.

It is an arithmetic number, because the mean of its divisors is an integer number (9099049950).

Almost surely, 2105450242511 is an apocalyptic number.

105450242511 is a deficient number, since it is larger than the sum of its proper divisors (40134556689).

105450242511 is a wasteful number, since it uses less digits than its factorization.

105450242511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134938.

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 105450242511 in words is "one hundred five billion, four hundred fifty million, two hundred forty-two thousand, five hundred eleven".

Divisors: 1 3 29 87 1069 3207 31001 93003 1133837 3401511 32881273 98643819 1212071753 3636215259 35150080837 105450242511