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10020200020020 = 22335103180154621
BaseRepresentation
bin1001000111010000001001…
…1101100111100000110100
31022110220212222010120222000
42101310002131213200310
52303132332201120040
633151114421335300
72052635616601041
oct221640235474064
938426788116860
1010020200020020
1132135a775a043
121159b94867530
13578b930c65a8
14268da1c001c8
151259ad51e130
hex91d02767834

10020200020020 has 96 divisors (see below), whose sum is σ = 31476615555840. Its totient is φ = 2646111058560.

The previous prime is 10020200020001. The next prime is 10020200020043. The reversal of 10020200020020 is 2002000202001.

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 = 10020200019984 and 10020200020011.

It is a congruent number.

It is an unprimeable number.

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, 90021691 + ... + 90132930.

It is an arithmetic number, because the mean of its divisors is an integer number (327881412040).

Almost surely, 210020200020020 is an apocalyptic number.

10020200020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020200020020 is an abundant number, since it is smaller than the sum of its proper divisors (21456415535820).

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

10020200020020 is a wasteful number, since it uses less digits than its factorization.

10020200020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180154742 (or 180154734 counting only the distinct ones).

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

Adding to 10020200020020 its reverse (2002000202001), we get a palindrome (12022200222021).

The spelling of 10020200020020 in words is "ten trillion, twenty billion, two hundred million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2060 2781 3090 3708 4635 5562 6180 9270 11124 13905 18540 27810 55620 180154621 360309242 540463863 720618484 900773105 1080927726 1621391589 1801546210 2161855452 2702319315 3242783178 3603092420 4864174767 5404638630 6485566356 8106957945 9728349534 10809277260 16213915890 18555925963 19456699068 24320873835 32427831780 37111851926 48641747670 55667777889 74223703852 92779629815 97283495340 111335555778 167003333667 185559259630 222671111556 278338889445 334006667334 371118519260 501010001001 556677778890 668013334668 835016668335 1002020002002 1113355557780 1670033336670 2004040004004 2505050005005 3340066673340 5010100010010 10020200020020