Search a number
-
+
101055300000 = 253551917729
BaseRepresentation
bin101111000011101011…
…1011000000110100000
3100122211201101010200220
41132013113120012200
53123430124100000
6114231341443040
710205146606614
oct1360727300640
9318751333626
10101055300000
113994809a666
1217703270480
1396b633c505
144c69285344
152966be11a0
hex17875d81a0

101055300000 has 288 divisors, whose sum is σ = 349037035200. Its totient is φ = 25528320000.

The previous prime is 101055299971. The next prime is 101055300011. The reversal of 101055300000 is 3550101.

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

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 47 ways as a sum of consecutive naturals, for example, 5691136 + ... + 5708864.

It is an arithmetic number, because the mean of its divisors is an integer number (1211934150).

Almost surely, 2101055300000 is an apocalyptic number.

101055300000 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 101055300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174518517600).

101055300000 is an abundant number, since it is smaller than the sum of its proper divisors (247981735200).

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

101055300000 is an equidigital number, since it uses as much as digits as its factorization.

101055300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17786 (or 17758 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

Adding to 101055300000 its reverse (3550101), we get a palindrome (101058850101).

The spelling of 101055300000 in words is "one hundred one billion, fifty-five million, three hundred thousand".