Search a number
-
+
100221002106 = 2348119347129
BaseRepresentation
bin101110101010110100…
…0110010000101111010
3100120200120111102010220
41131111220302011322
53120223034031411
6114012455520510
710145366314341
oct1352550620572
9316616442126
10100221002106
113955a163275
121750b989136
1395b253b314
144bca54cb58
152918841b06
hex1755a3217a

100221002106 has 16 divisors (see below), whose sum is σ = 200446747200. Its totient is φ = 33406210208.

The previous prime is 100221002093. The next prime is 100221002107. The reversal of 100221002106 is 601200122001.

It is not an unprimeable number, because it can be changed into a prime (100221002107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 115150 + ... + 462278.

It is an arithmetic number, because the mean of its divisors is an integer number (12527921700).

Almost surely, 2100221002106 is an apocalyptic number.

100221002106 is an abundant number, since it is smaller than the sum of its proper divisors (100225745094).

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

100221002106 is a wasteful number, since it uses less digits than its factorization.

100221002106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395253.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100221002106 its reverse (601200122001), we get a palindrome (701421124107).

The spelling of 100221002106 in words is "one hundred billion, two hundred twenty-one million, two thousand, one hundred six".

Divisors: 1 2 3 6 48119 96238 144357 288714 347129 694258 1041387 2082774 16703500351 33407000702 50110501053 100221002106