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2200102012020 = 22351120111657627
BaseRepresentation
bin100000000001000000010…
…011001000010001110100
321210022211220002021122110
4200001000103020101310
5242021302103341040
64402413553331020
7314644402354143
oct40010023102164
97708756067573
102200102012020
11779070258140
122b6489866a70
1312c612a4ca93
14786b232775a
153c36a3a2980
hex200404c8474

2200102012020 has 96 divisors (see below), whose sum is σ = 6723657432576. Its totient is φ = 533092521600.

The previous prime is 2200102011979. The next prime is 2200102012063. The reversal of 2200102012020 is 202102010022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2200102011987 and 2200102012005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498447 + ... + 2156073.

It is an arithmetic number, because the mean of its divisors is an integer number (70038098256).

Almost surely, 22200102012020 is an apocalyptic number.

2200102012020 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 2200102012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361828716288).

2200102012020 is an abundant number, since it is smaller than the sum of its proper divisors (4523555420556).

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

2200102012020 is a wasteful number, since it uses less digits than its factorization.

2200102012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659661 (or 1659659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2200102012020 its reverse (202102010022), we get a palindrome (2402204022042).

The spelling of 2200102012020 in words is "two trillion, two hundred billion, one hundred two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2011 4022 6033 8044 10055 12066 20110 22121 24132 30165 40220 44242 60330 66363 88484 110605 120660 132726 221210 265452 331815 442420 663630 1327260 1657627 3315254 4972881 6630508 8288135 9945762 16576270 18233897 19891524 24864405 33152540 36467794 49728810 54701691 72935588 91169485 99457620 109403382 182338970 218806764 273508455 364677940 547016910 1094033820 3333487897 6666975794 10000463691 13333951588 16667439485 20000927382 33334878970 36668366867 40001854764 50002318455 66669757940 73336733734 100004636910 110005100601 146673467468 183341834335 200009273820 220010201202 366683668670 440020402404 550025503005 733367337340 1100051006010 2200102012020