Search a number
-
+
10301203300320 = 253354943482407
BaseRepresentation
bin1001010111100110111110…
…0100000011111111100000
31100110210012120101021022000
42111321233210003333200
52322233331021102240
633524150225044000
72112144264222102
oct225715744037740
940423176337260
1010301203300320
113311796790699
1211a4538186600
1359952636584a
1427881bdbd572
1512ce58090430
hex95e6f903fe0

10301203300320 has 192 divisors, whose sum is σ = 36061580298240. Its totient is φ = 2746426120704.

The previous prime is 10301203300309. The next prime is 10301203300327. The reversal of 10301203300320 is 2300330210301.

10301203300320 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 12 + 0 + 330 + 0 + 320 = 666.

It is a super-2 number, since 2×103012033003202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10301203300293 and 10301203300302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301203300327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21112557 + ... + 21594963.

It is an arithmetic number, because the mean of its divisors is an integer number (187820730720).

Almost surely, 210301203300320 is an apocalyptic number.

10301203300320 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 10301203300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030790149120).

10301203300320 is an abundant number, since it is smaller than the sum of its proper divisors (25760376997920).

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

10301203300320 is a wasteful number, since it uses less digits than its factorization.

10301203300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487374 (or 487360 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10301203300320 its reverse (2300330210301), we get a palindrome (12601533510621).

The spelling of 10301203300320 in words is "ten trillion, three hundred one billion, two hundred three million, three hundred thousand, three hundred twenty".