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200200020210020 = 225171395637524229
BaseRepresentation
bin101101100001010010110011…
…000101101011000101100100
3222020211221020121221112000002
4231201102303011223011210
5202220034120133210040
61545442341500440432
760111655063124045
oct5541226305530544
9866757217845002
10200200020210020
1158876396228646
121a554131849118
138792a1c835c3c
143761a386868cc
1518229de1a6a15
hexb614b316b164

200200020210020 has 96 divisors (see below), whose sum is σ = 449149579804800. Its totient is φ = 74694275426304.

The previous prime is 200200020210013. The next prime is 200200020210023. The reversal of 200200020210020 is 20012020002002.

It is a junction number, because it is equal to n+sod(n) for n = 200200020209983 and 200200020210010.

It is not an unprimeable number, because it can be changed into a prime (200200020210023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22845266 + ... + 30369494.

It is an arithmetic number, because the mean of its divisors is an integer number (4678641456300).

Almost surely, 2200200020210020 is an apocalyptic number.

200200020210020 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 200200020210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224574789902400).

200200020210020 is an abundant number, since it is smaller than the sum of its proper divisors (248949559594780).

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

200200020210020 is a wasteful number, since it uses less digits than its factorization.

200200020210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7524957 (or 7524955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 200200020210020 its reverse (20012020002002), we get a palindrome (220212040212022).

The spelling of 200200020210020 in words is "two hundred trillion, two hundred billion, twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 278 340 556 563 695 1126 1390 2252 2363 2780 2815 4726 5630 9452 9571 11260 11815 19142 23630 38284 47260 47855 78257 95710 156514 191420 313028 391285 782570 1330369 1565140 2660738 5321476 6651845 7524229 13303690 15048458 26607380 30096916 37621145 75242290 127911893 150484580 255823786 511647572 639559465 1045867831 1279118930 2091735662 2558237860 4183471324 4236140927 5229339155 8472281854 10458678310 16944563708 17779753127 20917356620 21180704635 35559506254 42361409270 71119012508 72014395759 84722818540 88898765635 144028791518 177797531270 288057583036 355595062540 360071978795 588823588853 720143957590 1177647177706 1440287915180 2355294355412 2944117944265 5888235888530 10010001010501 11776471777060 20020002021002 40040004042004 50050005052505 100100010105010 200200020210020