Search a number
-
+
101041223014110 = 23523914092220783
BaseRepresentation
bin10110111110010101111110…
…001101001001011011011110
3111020202110001120010001020010
4112332111332031021123132
5101220424411042422420
6554521410321304050
730165662461552011
oct2676257615113336
9436673046101203
10101041223014110
112a216384285775
12b3ba571195026
13444c1b9985812
141ad45c8027378
15ba34aa0a24e0
hex5be57e3496de

101041223014110 has 32 divisors (see below), whose sum is σ = 243513575147520. Its totient is φ = 26831588368928.

The previous prime is 101041223014099. The next prime is 101041223014111. The reversal of 101041223014110 is 11410322140101.

It is a super-2 number, since 2×1010412230141102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041223014111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7046103222 + ... + 7046117561.

It is an arithmetic number, because the mean of its divisors is an integer number (7609799223360).

Almost surely, 2101041223014110 is an apocalyptic number.

101041223014110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101041223014110 is an abundant number, since it is smaller than the sum of its proper divisors (142472352133410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101041223014110 is a wasteful number, since it uses less digits than its factorization.

101041223014110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092221032.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 101041223014110 its reverse (11410322140101), we get a palindrome (112451545154211).

The spelling of 101041223014110 in words is "one hundred one trillion, forty-one billion, two hundred twenty-three million, fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 239 478 717 1195 1434 2390 3585 7170 14092220783 28184441566 42276662349 70461103915 84553324698 140922207830 211383311745 422766623490 3368040767137 6736081534274 10104122301411 16840203835685 20208244602822 33680407671370 50520611507055 101041223014110