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2010200020020 = 2232559251754121
BaseRepresentation
bin11101010000001001010…
…000100001010000110100
321010011200021222112222100
4131100021100201100310
5230413342201120040
64135250110502100
7265142426146533
oct35201120412064
97104607875870
102010200020020
117055805618a5
1228570bb04930
1311773a814c8a
146d4193dc31a
15374536eab30
hex1d409421434

2010200020020 has 144 divisors (see below), whose sum is σ = 6225669253440. Its totient is φ = 524867520000.

The previous prime is 2010200020019. The next prime is 2010200020057. The reversal of 2010200020020 is 200200020102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2010200019984 and 2010200020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2288560 + ... + 3042680.

It is an arithmetic number, because the mean of its divisors is an integer number (43233814260).

Almost surely, 22010200020020 is an apocalyptic number.

2010200020020 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 2010200020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112834626720).

2010200020020 is an abundant number, since it is smaller than the sum of its proper divisors (4215469233420).

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

2010200020020 is a wasteful number, since it uses less digits than its factorization.

2010200020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754446 (or 754441 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2010200020020 its reverse (200200020102), we get a palindrome (2210400040122).

The spelling of 2010200020020 in words is "two trillion, ten billion, two hundred million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 251 295 354 502 531 590 708 753 885 1004 1062 1180 1255 1506 1770 2124 2259 2510 2655 3012 3540 3765 4518 5020 5310 7530 9036 10620 11295 14809 15060 22590 29618 44427 45180 59236 74045 88854 133281 148090 177708 222135 266562 296180 444270 533124 666405 754121 888540 1332810 1508242 2262363 2665620 3016484 3770605 4524726 6787089 7541210 9049452 11311815 13574178 15082420 22623630 27148356 33935445 44493139 45247260 67870890 88986278 133479417 135741780 177972556 189284371 222465695 266958834 378568742 400438251 444931390 533917668 567853113 667397085 757137484 800876502 889862780 946421855 1135706226 1334794170 1601753004 1703559339 1892843710 2002191255 2271412452 2669588340 2839265565 3407118678 3785687420 4004382510 5678531130 6814237356 8008765020 8517796695 11167777889 11357062260 17035593390 22335555778 33503333667 34071186780 44671111556 55838889445 67006667334 100510001001 111677778890 134013334668 167516668335 201020002002 223355557780 335033336670 402040004004 502550005005 670066673340 1005100010010 2010200020020