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220002210120 = 233571123809763
BaseRepresentation
bin1100110011100100100…
…1110101000101001000
3210000212022222020110110
43030321021311011020
512101031031210440
6245022334514320
721615600634260
oct3147111650510
9700768866413
10220002210120
118533656a770
123677a3659a0
13179912bba74
14a9107c07a0
155ac94ca080
hex3339275148

220002210120 has 128 divisors (see below), whose sum is σ = 822865443840. Its totient is φ = 45714743040.

The previous prime is 220002210073. The next prime is 220002210157. The reversal of 220002210120 is 21012200022.

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 = 220002210096 and 220002210105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11895642 + ... + 11914121.

It is an arithmetic number, because the mean of its divisors is an integer number (6428636280).

Almost surely, 2220002210120 is an apocalyptic number.

220002210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002210120 is an abundant number, since it is smaller than the sum of its proper divisors (602863233720).

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

220002210120 is a wasteful number, since it uses less digits than its factorization.

220002210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23809795 (or 23809791 counting only the distinct ones).

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

Adding to 220002210120 its reverse (21012200022), we get a palindrome (241014410142).

The spelling of 220002210120 in words is "two hundred twenty billion, two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 23809763 47619526 71429289 95239052 119048815 142858578 166668341 190478104 238097630 261907393 285717156 333336682 357146445 476195260 500005023 523814786 571434312 666673364 714292890 785722179 833341705 952390520 1000010046 1047629572 1309536965 1333346728 1428585780 1571444358 1666683410 1833351751 2000020092 2095259144 2500025115 2619073930 2857171560 3142888716 3333366820 3666703502 3928610895 4000040184 5000050230 5238147860 5500055253 6285777432 6666733640 7333407004 7857221790 9166758755 10000100460 10476295720 11000110506 14666814008 15714443580 18333517510 20000200920 22000221012 27500276265 31428887160 36667035020 44000442024 55000552530 73334070040 110001105060 220002210120