Search a number
-
+
105354363123 = 335452171569
BaseRepresentation
bin110001000011110011…
…1000000000011110011
3101001221022211011122000
41202013213000003303
53211231204104443
6120222113345043
710416531211422
oct1420747000363
9331838734560
10105354363123
1140753878399
1218502b68183
139c1cbc1449
1451562072b9
152b1933c8d3
hex18879c00f3

105354363123 has 16 divisors (see below), whose sum is σ = 156085581600. Its totient is φ = 70233972480.

The previous prime is 105354363113. The next prime is 105354363173. The reversal of 105354363123 is 321363453501.

105354363123 is a `hidden beast` number, since 1 + 0 + 53 + 543 + 63 + 1 + 2 + 3 = 666.

It is not a de Polignac number, because 105354363123 - 25 = 105354363091 is a prime.

It is a super-2 number, since 2×1053543631232 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105354363113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436283 + ... + 1507851.

It is an arithmetic number, because the mean of its divisors is an integer number (9755348850).

Almost surely, 2105354363123 is an apocalyptic number.

105354363123 is a deficient number, since it is larger than the sum of its proper divisors (50731218477).

105354363123 is an equidigital number, since it uses as much as digits as its factorization.

105354363123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126099 (or 126093 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 105354363123 in words is "one hundred five billion, three hundred fifty-four million, three hundred sixty-three thousand, one hundred twenty-three".

Divisors: 1 3 9 27 54521 71569 163563 214707 490689 644121 1472067 1932363 3902013449 11706040347 35118121041 105354363123