Search a number
-
+
103297549050 = 23352292372459
BaseRepresentation
bin110000000110100000…
…0111000001011111010
3100212121222120012011000
41200031000320023322
53143023133032200
6115242040545430
710314544452063
oct1401500701372
9325558505130
10103297549050
113a898856553
121802a182276
139982a442b7
144ddcd9d56a
152a489a6300
hex180d0382fa

103297549050 has 288 divisors, whose sum is σ = 302886417600. Its totient is φ = 25866812160.

The previous prime is 103297549049. The next prime is 103297549067. The reversal of 103297549050 is 50945792301.

It is a happy number.

103297549050 is a `hidden beast` number, since 10 + 3 + 2 + 97 + 549 + 0 + 5 + 0 = 666.

103297549050 is digitally balanced in base 3, 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 103297548987 and 103297549005.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42006721 + ... + 42009179.

It is an arithmetic number, because the mean of its divisors is an integer number (1051688950).

Almost surely, 2103297549050 is an apocalyptic number.

103297549050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103297549050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151443208800).

103297549050 is an abundant number, since it is smaller than the sum of its proper divisors (199588868550).

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

103297549050 is a wasteful number, since it uses less digits than its factorization.

103297549050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 103297549050 in words is "one hundred three billion, two hundred ninety-seven million, five hundred forty-nine thousand, fifty".