Search a number
-
+
100220023188 = 22322783889533
BaseRepresentation
bin101110101010110010…
…1000011000110010100
3100120200111122200022200
41131111211003012110
53120222311220223
6114012422524500
710145355066345
oct1352545030624
9316614580280
10100220023188
113955965484a
121750b596730
1395b228788c
144bca3760cc
1529186eba43
hex1755943194

100220023188 has 18 divisors (see below), whose sum is σ = 253333947594. Its totient is φ = 33406674384.

The previous prime is 100220023187. The next prime is 100220023243. The reversal of 100220023188 is 881320022001.

It can be written as a sum of positive squares in only one way, i.e., 100160856324 + 59166864 = 316482^2 + 7692^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220023187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1391944731 + ... + 1391944802.

Almost surely, 2100220023188 is an apocalyptic number.

100220023188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100220023188 is an abundant number, since it is smaller than the sum of its proper divisors (153113924406).

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

100220023188 is a wasteful number, since it uses less digits than its factorization.

100220023188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783889543 (or 2783889538 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 100220023188 its reverse (881320022001), we get a palindrome (981540045189).

The spelling of 100220023188 in words is "one hundred billion, two hundred twenty million, twenty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2783889533 5567779066 8351668599 11135558132 16703337198 25055005797 33406674396 50110011594 100220023188