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200012021000 = 235311171069583
BaseRepresentation
bin1011101001000110100…
…1010011110100001000
3201010021011220102012122
42322101221103310020
511234111034133000
6231514555430412
720310325061441
oct2722151236410
9633234812178
10200012021000
1177908631810
123291b755408
1315b2696a8ac
1499759302c8
15530954b085
hex2e91a53d08

200012021000 has 128 divisors (see below), whose sum is σ = 540610536960. Its totient is φ = 68453248000.

The previous prime is 200012020997. The next prime is 200012021087. The reversal of 200012021000 is 120210002.

200012021000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 347792 + ... + 721791.

It is an arithmetic number, because the mean of its divisors is an integer number (4223519820).

Almost surely, 2200012021000 is an apocalyptic number.

200012021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200012021000 is an abundant number, since it is smaller than the sum of its proper divisors (340598515960).

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

200012021000 is a wasteful number, since it uses less digits than its factorization.

200012021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069632 (or 1069618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 200012021000 its reverse (120210002), we get a palindrome (200132231002).

The spelling of 200012021000 in words is "two hundred billion, twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 680 748 850 935 1000 1100 1375 1496 1700 1870 2125 2200 2750 3400 3740 4250 4675 5500 7480 8500 9350 11000 17000 18700 23375 37400 46750 93500 187000 1069583 2139166 4278332 5347915 8556664 10695830 11765413 18182911 21391660 23530826 26739575 36365822 42783320 47061652 53479150 58827065 72731644 90914555 94123304 106958300 117654130 133697875 145463288 181829110 200012021 213916600 235308260 267395750 294135325 363658220 400024042 454572775 470616520 534791500 588270650 727316440 800048084 909145550 1000060105 1069583000 1176541300 1470676625 1600096168 1818291100 2000120210 2272863875 2353082600 2941353250 3636582200 4000240420 4545727750 5000300525 5882706500 8000480840 9091455500 10000601050 11765413000 18182911000 20001202100 25001502625 40002404200 50003005250 100006010500 200012021000