Search a number
-
+
100221002220 = 22351670350037
BaseRepresentation
bin101110101010110100…
…0110010000111101100
3100120200120111102022010
41131111220302013230
53120223034032340
6114012455521220
710145366314563
oct1352550620754
9316616442263
10100221002220
113955a163369
121750b989210
1395b253b3a1
144bca54cbda
152918841b80
hex1755a321ec

100221002220 has 24 divisors (see below), whose sum is σ = 280618806384. Its totient is φ = 26725600576.

The previous prime is 100221002213. The next prime is 100221002227. The reversal of 100221002220 is 22200122001.

It is an interprime number because it is at equal distance from previous prime (100221002213) and next prime (100221002227).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100221002196 and 100221002205.

It is not an unprimeable number, because it can be changed into a prime (100221002227) 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, 835174959 + ... + 835175078.

It is an arithmetic number, because the mean of its divisors is an integer number (11692450266).

Almost surely, 2100221002220 is an apocalyptic number.

100221002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221002220 is an abundant number, since it is smaller than the sum of its proper divisors (180397804164).

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

100221002220 is a wasteful number, since it uses less digits than its factorization.

100221002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670350049 (or 1670350047 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100221002220 its reverse (22200122001), we get a palindrome (122421124221).

The spelling of 100221002220 in words is "one hundred billion, two hundred twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1670350037 3340700074 5011050111 6681400148 8351750185 10022100222 16703500370 20044200444 25055250555 33407000740 50110501110 100221002220