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2003033022320 = 245112499341443
BaseRepresentation
bin11101001001011110000…
…100100101111101110000
321002111011211000100102002
4131021132010211331300
5230304202423203240
64132103005113132
7264500011524521
oct35113604457560
97074154010362
102003033022320
11702532a16400
1228424b8587a8
13116b67a3b435
146cd39610848
15371843e5d15
hex1d25e125f70

2003033022320 has 120 divisors (see below), whose sum is σ = 5120056909968. Its totient is φ = 728212193280.

The previous prime is 2003033022311. The next prime is 2003033022343. The reversal of 2003033022320 is 232203303002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2003033022292 and 2003033022301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48311519 + ... + 48352961.

Almost surely, 22003033022320 is an apocalyptic number.

2003033022320 is a gapful number since it is divisible by the number (20) 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 2003033022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560028454984).

2003033022320 is an abundant number, since it is smaller than the sum of its proper divisors (3117023887648).

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

2003033022320 is a wasteful number, since it uses less digits than its factorization.

2003033022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46471 (or 46454 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 2003033022320 its reverse (232203303002), we get a palindrome (2235236325322).

The spelling of 2003033022320 in words is "two trillion, three billion, thirty-three million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 4993 9680 9986 19972 24965 39944 41443 49930 54923 79888 82886 99860 109846 165772 199720 207215 219692 274615 331544 399440 414430 439384 455873 549230 604153 663088 828860 878768 911746 1098460 1208306 1657720 1823492 2196920 2279365 2416612 3020765 3315440 3646984 4393840 4558730 4833224 5014603 6041530 7293968 9117460 9666448 10029206 12083060 18234920 20058412 24166120 25073015 36469840 40116824 48332240 50146030 80233648 100292060 200584120 206924899 401168240 413849798 827699596 1034624495 1655399192 2069248990 2276173889 3310798384 4138497980 4552347778 8276995960 9104695556 11380869445 16553991920 18209391112 22761738890 25037912779 36418782224 45523477780 50075825558 91046955560 100151651116 125189563895 182093911120 200303302232 250379127790 400606604464 500758255580 1001516511160 2003033022320