Search a number
-
+
100022114022 = 23172029748313
BaseRepresentation
bin101110100100111001…
…0000101011011100110
3100120011201020211222120
41131021302011123212
53114321130122042
6113541033010410
710140432640605
oct1351162053346
9316151224876
10100022114022
113946796a756
1217475253a06
13958028316c
144babd79a3c
152906156dec
hex1749c856e6

100022114022 has 32 divisors (see below), whose sum is σ = 211826355552. Its totient is φ = 31377291264.

The previous prime is 100022113987. The next prime is 100022114077. The reversal of 100022114022 is 220411220001.

100022114022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100022113992 and 100022114010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046138 + ... + 2094450.

It is an arithmetic number, because the mean of its divisors is an integer number (6619573611).

Almost surely, 2100022114022 is an apocalyptic number.

100022114022 is an abundant number, since it is smaller than the sum of its proper divisors (111804241530).

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

100022114022 is a wasteful number, since it uses less digits than its factorization.

100022114022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68632.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100022114022 its reverse (220411220001), we get a palindrome (320433334023).

The spelling of 100022114022 in words is "one hundred billion, twenty-two million, one hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 17 34 51 102 20297 40594 48313 60891 96626 121782 144939 289878 345049 690098 821321 1035147 1642642 2070294 2463963 4927926 980608961 1961217922 2941826883 5883653766 16670352337 33340704674 50011057011 100022114022