Search a number
-
+
1003303020223 = 71719299123567
BaseRepresentation
bin11101001100110011000…
…01010010011010111111
310112220200220122020102101
432212121201102122333
5112414231033121343
62044524441405531
7132325532650420
oct16463141223277
93486626566371
101003303020223
11357553442979
121425441998a7
13737c369778a
14367badab647
151b171713e4d
hexe9998526bf

1003303020223 has 48 divisors (see below), whose sum is σ = 1282690473984. Its totient is φ = 765981722880.

The previous prime is 1003303020221. The next prime is 1003303020241. The reversal of 1003303020223 is 3220203033001.

It is a happy number.

It is not a de Polignac number, because 1003303020223 - 21 = 1003303020221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003303020223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003303020221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42560586 + ... + 42584152.

It is an arithmetic number, because the mean of its divisors is an integer number (26722718208).

Almost surely, 21003303020223 is an apocalyptic number.

1003303020223 is a deficient number, since it is larger than the sum of its proper divisors (279387453761).

1003303020223 is a wasteful number, since it uses less digits than its factorization.

1003303020223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24620 (or 24601 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 1003303020223 its reverse (3220203033001), we get a palindrome (4223506053224).

The spelling of 1003303020223 in words is "one trillion, three billion, three hundred three million, twenty thousand, two hundred twenty-three".

Divisors: 1 7 17 19 119 133 323 361 991 2261 2527 6137 6937 16847 18829 23567 42959 117929 131803 164969 320093 357751 400639 447773 2240651 2504257 2804473 3134411 6081767 7612141 8507687 23354897 42572369 53284987 59553809 144630679 163484279 397033249 443743043 1012414753 2779232743 3106201301 7543631731 8431117817 52805422117 59017824719 143329002889 1003303020223