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1003030023340 = 22519532939677
BaseRepresentation
bin11101001100010010011…
…11111000110010101100
310112212222212221120002201
432212021033320302230
5112413201141221330
62044441410231244
7132316006345222
oct16461117706254
93485885846081
101003030023340
11357423332314
12142488885524
137377bc62867
1436792a26b12
151b15778aeca
hexe9893f8cac

1003030023340 has 72 divisors (see below), whose sum is σ = 2259850415760. Its totient is φ = 372923576064.

The previous prime is 1003030023223. The next prime is 1003030023341. The reversal of 1003030023340 is 433200303001.

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

It is not an unprimeable number, because it can be changed into a prime (1003030023341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597582 + ... + 1537258.

It is an arithmetic number, because the mean of its divisors is an integer number (31386811330).

Almost surely, 21003030023340 is an apocalyptic number.

1003030023340 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 1003030023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129925207880).

1003030023340 is an abundant number, since it is smaller than the sum of its proper divisors (1256820392420).

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

1003030023340 is a wasteful number, since it uses less digits than its factorization.

1003030023340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939811 (or 939756 counting only the distinct ones).

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

Adding to 1003030023340 its reverse (433200303001), we get a palindrome (1436230326341).

The spelling of 1003030023340 in words is "one trillion, three billion, thirty million, twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 2809 4028 5035 5618 10070 11236 14045 20140 28090 53371 56180 106742 213484 266855 533710 939677 1067420 1879354 3758708 4698385 9396770 17853863 18793540 35707726 49802881 71415452 89269315 99605762 178538630 199211524 249014405 357077260 498028810 946254739 996057620 1892509478 2639552693 3785018956 4731273695 5279105386 9462547390 10558210772 13197763465 18925094780 26395526930 50151501167 52791053860 100303002334 200606004668 250757505835 501515011670 1003030023340