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1010220102220 = 2257223283158371
BaseRepresentation
bin11101011001101011100…
…11110111001001001100
310120120112222100102002111
432230311303313021030
5113022412321232340
62052031054433404
7132662124121300
oct16546563671114
93516488312074
101010220102220
1135a482a02a6a
12143954802864
137435675b0c4
1436c75901d00
151b428aeeaea
hexeb35cf724c

1010220102220 has 144 divisors (see below), whose sum is σ = 2584235743488. Its totient is φ = 330129233280.

The previous prime is 1010220102211. The next prime is 1010220102233. The reversal of 1010220102220 is 222010220101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010220102220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6299635 + ... + 6458005.

It is an arithmetic number, because the mean of its divisors is an integer number (17946081552).

Almost surely, 21010220102220 is an apocalyptic number.

1010220102220 is a gapful number since it is divisible by the number (10) 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 1010220102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292117871744).

1010220102220 is an abundant number, since it is smaller than the sum of its proper divisors (1574015641268).

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

1010220102220 is a wasteful number, since it uses less digits than its factorization.

1010220102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158700 (or 158691 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1010220102220 its reverse (222010220101), we get a palindrome (1232230322321).

The spelling of 1010220102220 in words is "one trillion, ten billion, two hundred twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 283 322 460 490 566 644 805 980 1127 1132 1415 1610 1981 2254 2830 3220 3962 4508 5635 5660 6509 7924 9905 11270 13018 13867 19810 22540 26036 27734 32545 39620 45563 55468 65090 69335 91126 130180 138670 158371 182252 227815 277340 316742 318941 455630 633484 637882 791855 911260 1108597 1275764 1583710 1594705 2217194 3167420 3189410 3642533 4434388 5542985 6378820 7285066 7760179 11085970 14570132 15520358 18212665 22171940 25497731 31040716 36425330 38800895 44818993 50995462 72850660 77601790 89637986 101990924 127488655 155203580 178484117 179275972 224094965 254977310 313732951 356968234 448189930 509954620 627465902 713936468 892420585 896379860 1030836839 1254931804 1568664755 1784841170 2061673678 2196130657 3137329510 3569682340 4123347356 4392261314 5154184195 6274659020 7215857873 8784522628 10308368390 10980653285 14431715746 20616736780 21961306570 28863431492 36079289365 43922613140 50511005111 72158578730 101022010222 144317157460 202044020444 252555025555 505110051110 1010220102220