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200120020021000 = 23536431193260879
BaseRepresentation
bin101101100000001000010010…
…101101001010111100001000
3222020120021202021110211201101
4231200020102231022330020
5202212231300111133000
61545341511255031144
760103123436544262
oct5540102255127410
9866507667424641
10200120020021000
1158845473202552
121a54072596b4b4
1387883106660a1
14375bc0989cb32
1518208aab9be6a
hexb60212b4af08

200120020021000 has 128 divisors (see below), whose sum is σ = 469404055411200. Its totient is φ = 79856216716800.

The previous prime is 200120020020989. The next prime is 200120020021001. The reversal of 200120020021000 is 120020021002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (200120020021001) by changing a digit.

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, 766968561 + ... + 767229439.

It is an arithmetic number, because the mean of its divisors is an integer number (3667219182900).

Almost surely, 2200120020021000 is an apocalyptic number.

200120020021000 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 200120020021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234702027705600).

200120020021000 is an abundant number, since it is smaller than the sum of its proper divisors (269284035390200).

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

200120020021000 is a wasteful number, since it uses less digits than its factorization.

200120020021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262736 (or 262722 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200120020021000 its reverse (120020021002), we get a palindrome (200240040042002).

The spelling of 200120020021000 in words is "two hundred trillion, one hundred twenty billion, twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 643 1000 1193 1286 2386 2572 3215 4772 5144 5965 6430 9544 11930 12860 16075 23860 25720 29825 32150 47720 59650 64300 80375 119300 128600 149125 160750 238600 260879 298250 321500 521758 596500 643000 767099 1043516 1193000 1304395 1534198 2087032 2608790 3068396 3835495 5217580 6136792 6521975 7670990 10435160 13043950 15341980 19177475 26087900 30683960 32609875 38354950 52175800 65219750 76709900 95887375 130439500 153419800 167745197 191774750 260879000 311228647 335490394 383549500 622457294 670980788 767099000 838725985 1244914588 1341961576 1556143235 1677451970 2489829176 3112286470 3354903940 4193629925 6224572940 6709807880 7780716175 8387259850 12449145880 15561432350 16774519700 20968149625 31122864700 33549039400 38903580875 41936299250 62245729400 77807161750 83872598500 155614323500 167745197000 200120020021 311228647000 400240040042 800480080084 1000600100105 1600960160168 2001200200210 4002400400420 5003000500525 8004800800840 10006001001050 20012002002100 25015002502625 40024004004200 50030005005250 100060010010500 200120020021000