Search a number
-
+
10000203320100 = 223527231811143887
BaseRepresentation
bin1001000110000101101010…
…0100010000101100100100
31022102000021100210222120110
42101201122210100230210
52302320404022220400
633134010250533020
72051330234500260
oct221413244205444
938360240728513
1010000203320100
113206076084464
121156133a37170
13577027305a86
142680261370a0
151251dcc05e50
hex9185a910b24

10000203320100 has 288 divisors, whose sum is σ = 34695715332096. Its totient is φ = 2174298508800.

The previous prime is 10000203320053. The next prime is 10000203320101. The reversal of 10000203320100 is 102330200001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10000203320101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8170357 + ... + 9314243.

It is an arithmetic number, because the mean of its divisors is an integer number (120471233792).

Almost surely, 210000203320100 is an apocalyptic number.

10000203320100 is a gapful number since it is divisible by the number (10) 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 10000203320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17347857666048).

10000203320100 is an abundant number, since it is smaller than the sum of its proper divisors (24695512011996).

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

10000203320100 is a wasteful number, since it uses less digits than its factorization.

10000203320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144115 (or 1144108 counting only the distinct ones).

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

Adding to 10000203320100 its reverse (102330200001), we get a palindrome (10102533520101).

The spelling of 10000203320100 in words is "ten trillion, two hundred three million, three hundred twenty thousand, one hundred".