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200211001020020 = 2251729157129333601
BaseRepresentation
bin101101100001011101000001…
…100110001000111001110100
3222020212222120220021110111202
4231201131001212020321310
5202220224112230120040
61545451355241352032
760112524150353264
oct5541350146107164
9866788526243452
10200211001020020
1158880010649731
121a556297198618
138793a7c7a1a53
14376239ab9d7a4
151822e33205015
hexb61741988e74

200211001020020 has 96 divisors (see below), whose sum is σ = 463459202750880. Its totient is φ = 72310933094400.

The previous prime is 200211001020011. The next prime is 200211001020073. The reversal of 200211001020020 is 20020100112002.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 17030692834276 + 183180308185744 = 4126826^2 + 13534412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200211001019983 and 200211001020010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63118781 + ... + 66214820.

It is an arithmetic number, because the mean of its divisors is an integer number (4827700028655).

Almost surely, 2200211001020020 is an apocalyptic number.

200211001020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211001020020 is an abundant number, since it is smaller than the sum of its proper divisors (263248201730860).

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

200211001020020 is a wasteful number, since it uses less digits than its factorization.

200211001020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129333813 (or 129333811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200211001020020 its reverse (20020100112002), we get a palindrome (220231101132022).

The spelling of 200211001020020 in words is "two hundred trillion, two hundred eleven billion, one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 157 170 290 314 340 493 580 628 785 986 1570 1972 2465 2669 3140 4553 4930 5338 9106 9860 10676 13345 18212 22765 26690 45530 53380 77401 91060 154802 309604 387005 774010 1548020 129333601 258667202 517334404 646668005 1293336010 2198671217 2586672020 3750674429 4397342434 7501348858 8794684868 10993356085 15002697716 18753372145 20305375357 21986712170 37506744290 40610750714 43973424340 63761465293 75013488580 81221501428 101526876785 127522930586 203053753570 255045861172 318807326465 345191381069 406107507140 588855885353 637614652930 690382762138 1177711770706 1275229305860 1380765524276 1725956905345 2355423541412 2944279426765 3451913810690 5888558853530 6903827621380 10010550051001 11777117707060 20021100102002 40042200204004 50052750255005 100105500510010 200211001020020