Search a number
-
+
105040320086023 = 7123712130767997
BaseRepresentation
bin10111111000100010011010…
…111101110100000000000111
3111202220202102111210020200021
4113320202122331310000013
5102231440033420223043
61011222505030400011
731060625024032540
oct2770423275640007
9452822374706607
10105040320086023
1130518393325083
12b945626800007
13467c34b6a0b7a
141bd1d9b4874c7
15c22516b533ed
hex5f889af74007

105040320086023 has 8 divisors (see below), whose sum is σ = 120143126252192. Its totient is φ = 89961775458336.

The previous prime is 105040320086021. The next prime is 105040320086033. The reversal of 105040320086023 is 320680023040501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105040320086023 - 21 = 105040320086021 is a prime.

It is a super-2 number, since 2×1050403200860232 (a number of 29 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 105040320086023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105040320086021) 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 7 ways as a sum of consecutive naturals, for example, 6065375340 + ... + 6065392657.

It is an arithmetic number, because the mean of its divisors is an integer number (15017890781524).

Almost surely, 2105040320086023 is an apocalyptic number.

105040320086023 is a deficient number, since it is larger than the sum of its proper divisors (15102806166169).

105040320086023 is a wasteful number, since it uses less digits than its factorization.

105040320086023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12130769241.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 105040320086023 in words is "one hundred five trillion, forty billion, three hundred twenty million, eighty-six thousand, twenty-three".

Divisors: 1 7 1237 8659 12130767997 84915375979 15005760012289 105040320086023