Search a number
-
+
200103100032 = 273112310319997
BaseRepresentation
bin1011101001011100010…
…0101111111010000000
3201010111112021201011010
42322113010233322000
511234302343200112
6231532011520520
720312512200123
oct2722704577200
9633445251133
10200103100032
1177954a8a840
1232946159140
1315b3c7a9a04
149983a7c3ba
15531253c63c
hex2e9712fe80

200103100032 has 256 divisors, whose sum is σ = 610959697920. Its totient is φ = 57434910720.

The previous prime is 200103100031. The next prime is 200103100039. The reversal of 200103100032 is 230001301002.

It is a happy number.

200103100032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 200103099990 and 200103100017.

It is not an unprimeable number, because it can be changed into a prime (200103100031) 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 31 ways as a sum of consecutive naturals, for example, 9996658 + ... + 10016654.

It is an arithmetic number, because the mean of its divisors is an integer number (2386561320).

Almost surely, 2200103100032 is an apocalyptic number.

200103100032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200103100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305479848960).

200103100032 is an abundant number, since it is smaller than the sum of its proper divisors (410856597888).

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

200103100032 is a wasteful number, since it uses less digits than its factorization.

200103100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20151 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 200103100032 its reverse (230001301002), we get a palindrome (430104401034).

The spelling of 200103100032 in words is "two hundred billion, one hundred three million, one hundred thousand, thirty-two".