Search a number
-
+
100420440500 = 2253200840881
BaseRepresentation
bin101110110000110000…
…1100101000110110100
3100121012110202221012002
41131201201211012310
53121130113044000
6114044342314432
710153340442362
oct1354141450664
9317173687162
10100420440500
11396517a2296
1217566728a18
139614959ac3
144c08c26632
15292b0d98d5
hex17618651b4

100420440500 has 24 divisors (see below), whose sum is σ = 219318243144. Its totient is φ = 40168176000.

The previous prime is 100420440467. The next prime is 100420440521. The reversal of 100420440500 is 5044024001.

100420440500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 264647824 + 100155792676 = 16268^2 + 316474^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 100419941 + ... + 100420940.

It is an arithmetic number, because the mean of its divisors is an integer number (9138260131).

Almost surely, 2100420440500 is an apocalyptic number.

100420440500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100420440500 is an abundant number, since it is smaller than the sum of its proper divisors (118897802644).

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

100420440500 is a wasteful number, since it uses less digits than its factorization.

100420440500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200840900 (or 200840888 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 100420440500 its reverse (5044024001), we get a palindrome (105464464501).

The spelling of 100420440500 in words is "one hundred billion, four hundred twenty million, four hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 200840881 401681762 803363524 1004204405 2008408810 4016817620 5021022025 10042044050 20084088100 25105110125 50210220250 100420440500