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2123003000 = 235319293853
BaseRepresentation
bin111111010001010…
…0111010001111000
312110221210201121202
41332202213101320
513321442044000
6550355153332
7103416141056
oct17642472170
95427721552
102123003000
1199a41a638
124b2ba5848
1327aab30c1
14161d571d6
15c65acdd5
hex7e8a7478

2123003000 has 128 divisors (see below), whose sum is σ = 5411016000. Its totient is φ = 776563200.

The previous prime is 2123002997. The next prime is 2123003053. The reversal of 2123003000 is 3003212.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 549074 + ... + 552926.

Almost surely, 22123003000 is an apocalyptic number.

2123003000 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 2123003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705508000).

2123003000 is an abundant number, since it is smaller than the sum of its proper divisors (3288013000).

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

2123003000 is a wasteful number, since it uses less digits than its factorization.

2123003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2123003000 is about 46076.0566889138. The cubic root of 2123003000 is about 1285.2379358237.

Adding to 2123003000 its reverse (3003212), we get a palindrome (2126006212).

The spelling of 2123003000 in words is "two billion, one hundred twenty-three million, three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 125 145 152 190 200 232 250 290 380 475 500 551 580 725 760 950 1000 1102 1160 1450 1900 2204 2375 2755 2900 3625 3800 3853 4408 4750 5510 5800 7250 7706 9500 11020 13775 14500 15412 19000 19265 22040 27550 29000 30824 38530 55100 68875 73207 77060 96325 110200 111737 137750 146414 154120 192650 223474 275500 292828 366035 385300 446948 481625 551000 558685 585656 732070 770600 893896 963250 1117370 1464140 1830175 1926500 2123003 2234740 2793425 2928280 3660350 3853000 4246006 4469480 5586850 7320700 8492012 9150875 10615015 11173700 13967125 14641400 16984024 18301750 21230030 22347400 27934250 36603500 42460060 53075075 55868500 73207000 84920120 106150150 111737000 212300300 265375375 424600600 530750750 1061501500 2123003000