Search a number
-
+
100122222112 = 2511284438131
BaseRepresentation
bin101110100111110111…
…1111101111000100000
3100120102200121212110121
41131033233331320200
53120022242101422
6113555010410024
710143056563123
oct1351757757040
9316380555417
10100122222112
1139509425410
12174a2890914
139597c33c13
144bbb3983ba
15290ed2d8c7
hex174fbfde20

100122222112 has 24 divisors (see below), whose sum is σ = 215035227792. Its totient is φ = 45510100800.

The previous prime is 100122222089. The next prime is 100122222119. The reversal of 100122222112 is 211222221001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100122222119) 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 3 ways as a sum of consecutive naturals, for example, 142218714 + ... + 142219417.

It is an arithmetic number, because the mean of its divisors is an integer number (8959801158).

Almost surely, 2100122222112 is an apocalyptic number.

It is an amenable number.

100122222112 is an abundant number, since it is smaller than the sum of its proper divisors (114913005680).

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

100122222112 is a wasteful number, since it uses less digits than its factorization.

100122222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284438152 (or 284438144 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122222112 its reverse (211222221001), we get a palindrome (311344443113).

The spelling of 100122222112 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 284438131 568876262 1137752524 2275505048 3128819441 4551010096 6257638882 9102020192 12515277764 25030555528 50061111056 100122222112