Search a number
-
+
1030303110000 = 24354376311471
BaseRepresentation
bin11101111111000101101…
…10011101001101110000
310122111101121001220121110
432333202312131031300
5113340030044010000
62105151551153320
7134302604636343
oct16774266351560
93574347056543
101030303110000
11367a49277a5a
1214781a515840
13762073aa168
1437c1cc3445a
151bc01cb5850
hexefe2d9d370

1030303110000 has 400 divisors, whose sum is σ = 3423585701888. Its totient is φ = 266716800000.

The previous prime is 1030303109939. The next prime is 1030303110007. The reversal of 1030303110000 is 113030301.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030303110007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 700409265 + ... + 700410735.

Almost surely, 21030303110000 is an apocalyptic number.

1030303110000 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 1030303110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711792850944).

1030303110000 is an abundant number, since it is smaller than the sum of its proper divisors (2393282591888).

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

1030303110000 is a wasteful number, since it uses less digits than its factorization.

1030303110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1030303110000 its reverse (113030301), we get a palindrome (1030416140301).

The spelling of 1030303110000 in words is "one trillion, thirty billion, three hundred three million, one hundred ten thousand".