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1003003210020 = 223579912409791
BaseRepresentation
bin11101001100001111010…
…01100110100100100100
310112212221000111022010210
432212013221212210210
5112413122310210040
62044435011415420
7132315232421250
oct16460751464444
93485830438123
101003003210020
1135740a189049
1214247b8b4570
13737765351a6
143678d247260
151b155241480
hexe987a66924

1003003210020 has 96 divisors (see below), whose sum is σ = 3212850364416. Its totient is φ = 229026441600.

The previous prime is 1003003210003. The next prime is 1003003210087. The reversal of 1003003210020 is 200123003001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003003209978 and 1003003210005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788676 + ... + 1621115.

It is an arithmetic number, because the mean of its divisors is an integer number (33467191296).

Almost surely, 21003003210020 is an apocalyptic number.

1003003210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003003210020 is an abundant number, since it is smaller than the sum of its proper divisors (2209847154396).

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

1003003210020 is a wasteful number, since it uses less digits than its factorization.

1003003210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410801 (or 2410799 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1003003210020 its reverse (200123003001), we get a palindrome (1203126213021).

The spelling of 1003003210020 in words is "one trillion, three billion, three million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 991 1982 2973 3964 4955 5946 6937 9910 11892 13874 14865 19820 20811 27748 29730 34685 41622 59460 69370 83244 104055 138740 208110 416220 2409791 4819582 7229373 9639164 12048955 14458746 16868537 24097910 28917492 33737074 36146865 48195820 50605611 67474148 72293730 84342685 101211222 144587460 168685370 202422444 253028055 337370740 506056110 1012112220 2388102881 4776205762 7164308643 9552411524 11940514405 14328617286 16716720167 23881028810 28657234572 33433440334 35821543215 47762057620 50150160501 66866880668 71643086430 83583600835 100300321002 143286172860 167167201670 200600642004 250750802505 334334403340 501501605010 1003003210020