Search a number
-
+
1003220020000 = 2554117362467
BaseRepresentation
bin11101001100101001001…
…00101010101100100000
310112220111010110101112001
432212110210222230200
5112414043311120000
62044512314413344
7132323504320312
oct16462444525440
93486433411461
101003220020000
11357510602650
12142520431254
13737ac426913
14367add637b2
151b1692bb46a
hexe99492ab20

1003220020000 has 240 divisors, whose sum is σ = 2729368347552. Its totient is φ = 359804160000.

The previous prime is 1003220019931. The next prime is 1003220020007. The reversal of 1003220020000 is 200223001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1003220020007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 16028767 + ... + 16091233.

Almost surely, 21003220020000 is an apocalyptic number.

1003220020000 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 1003220020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364684173776).

1003220020000 is an abundant number, since it is smaller than the sum of its proper divisors (1726148327552).

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

1003220020000 is an equidigital number, since it uses as much as digits as its factorization.

1003220020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62581 (or 62558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 1003220020000 its reverse (200223001), we get a palindrome (1003420243001).

The spelling of 1003220020000 in words is "one trillion, three billion, two hundred twenty million, twenty thousand".