Search a number
-
+
100011231300300 = 223521734774337603
BaseRepresentation
bin10110101111010110101101…
…111010100100101011001100
3111010002222110122222200212220
4112233112231322210223030
5101102041000203102200
6552412305252255340
730031400354465055
oct2657265572445314
9433088418880786
10100011231300300
1129959585866341
12b272a1b011550
1343a6031c66678
141a9a7d86d172c
15b867c57ec4a0
hex5af5adea4acc

100011231300300 has 288 divisors, whose sum is σ = 307352067708672. Its totient is φ = 25021862584320.

The previous prime is 100011231300229. The next prime is 100011231300347. The reversal of 100011231300300 is 3003132110001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100011231300300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13154176299 + ... + 13154183901.

It is an arithmetic number, because the mean of its divisors is an integer number (1067194679544).

Almost surely, 2100011231300300 is an apocalyptic number.

100011231300300 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 100011231300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153676033854336).

100011231300300 is an abundant number, since it is smaller than the sum of its proper divisors (207340836408372).

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

100011231300300 is a wasteful number, since it uses less digits than its factorization.

100011231300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15417 (or 15410 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100011231300300 its reverse (3003132110001), we get a palindrome (103014363410301).

The spelling of 100011231300300 in words is "one hundred trillion, eleven billion, two hundred thirty-one million, three hundred thousand, three hundred".