Search a number
-
+
100242214223322 = 2317982766806111
BaseRepresentation
bin10110110010101101110101…
…100100011111110111011010
3111010221001200021002221122210
4112302231311210133313122
5101114332023320121242
6553110345410055550
730054155342105523
oct2662556544376732
9433831607087583
10100242214223322
1129a38536690146
12b2ab74287a5b6
1343c1a53188c92
141aa7a6b5a184a
15b8c7e3d06d9c
hex5b2b7591fdda

100242214223322 has 16 divisors (see below), whose sum is σ = 212277630120192. Its totient is φ = 31448537795520.

The previous prime is 100242214223321. The next prime is 100242214223369. The reversal of 100242214223322 is 223322412242001.

100242214223322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100242214223322.

It is not an unprimeable number, because it can be changed into a prime (100242214223321) 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 7 ways as a sum of consecutive naturals, for example, 491383402954 + ... + 491383403157.

It is an arithmetic number, because the mean of its divisors is an integer number (13267351882512).

Almost surely, 2100242214223322 is an apocalyptic number.

100242214223322 is an abundant number, since it is smaller than the sum of its proper divisors (112035415896870).

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

100242214223322 is a wasteful number, since it uses less digits than its factorization.

100242214223322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982766806133.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 100242214223322 its reverse (223322412242001), we get a palindrome (323564626465323).

The spelling of 100242214223322 in words is "one hundred trillion, two hundred forty-two billion, two hundred fourteen million, two hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 102 982766806111 1965533612222 2948300418333 5896600836666 16707035703887 33414071407774 50121107111661 100242214223322