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2122002000020 = 2257173128761209
BaseRepresentation
bin11110111000010001001…
…011001110100010010100
321111212020222010121012102
4132320101023032202110
5234231330003000040
64302500111141232
7306211121252150
oct36702113164224
97455228117172
102122002000020
11748a32899181
122a3312214818
13125147446226
14749c3a52060
153a2e8add515
hex1ee112ce894

2122002000020 has 96 divisors (see below), whose sum is σ = 5566329538560. Its totient is φ = 662658232320.

The previous prime is 2122002000017. The next prime is 2122002000073. The reversal of 2122002000020 is 200002002212.

It is a junction number, because it is equal to n+sod(n) for n = 2122001999965 and 2122002000010.

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, 14306825 + ... + 14454384.

It is an arithmetic number, because the mean of its divisors is an integer number (57982599360).

Almost surely, 22122002000020 is an apocalyptic number.

2122002000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122002000020 is an abundant number, since it is smaller than the sum of its proper divisors (3444327538540).

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

2122002000020 is a wasteful number, since it uses less digits than its factorization.

2122002000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28761273 (or 28761271 counting only the distinct ones).

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

Adding to 2122002000020 its reverse (200002002212), we get a palindrome (2322004002232).

The spelling of 2122002000020 in words is "two trillion, one hundred twenty-two billion, two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 62 68 70 85 119 124 140 155 170 217 238 310 340 434 476 527 595 620 868 1054 1085 1190 2108 2170 2380 2635 3689 4340 5270 7378 10540 14756 18445 36890 73780 28761209 57522418 115044836 143806045 201328463 287612090 402656926 488940553 575224180 805313852 891597479 977881106 1006642315 1783194958 1955762212 2013284630 2444702765 3422583871 3566389916 4026569260 4457987395 4889405530 6241182353 6845167742 8915974790 9778811060 12482364706 13690335484 15157157143 17112919355 17831949580 24964729412 30314314286 31205911765 34225838710 60628628572 62411823530 68451677420 75785785715 106100100001 124823647060 151571571430 212200200002 303143142860 424400400004 530500500005 1061001000010 2122002000020