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1000010210220 = 2232576191282163
BaseRepresentation
bin11101000110101010100…
…00001101101110101100
310112121012102122011021100
432203111100031232230
5112341010103211340
62043222013203100
7132151120352310
oct16432520155654
93477172564240
101000010210220
11356113769a9a
12141985490490
13733ba431ca8
1436587943b40
151b02c5d1830
hexe8d540dbac

1000010210220 has 144 divisors (see below), whose sum is σ = 3472305258240. Its totient is φ = 228204321408.

The previous prime is 1000010210207. The next prime is 1000010210257. The reversal of 1000010210220 is 220120100001.

1000010210220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138859 + ... + 1421021.

It is an arithmetic number, because the mean of its divisors is an integer number (24113230960).

Almost surely, 21000010210220 is an apocalyptic number.

1000010210220 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 1000010210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736152629120).

1000010210220 is an abundant number, since it is smaller than the sum of its proper divisors (2472295048020).

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

1000010210220 is a wasteful number, since it uses less digits than its factorization.

1000010210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282804 (or 1282799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000010210220 its reverse (220120100001), we get a palindrome (1220130310221).

The spelling of 1000010210220 in words is "one trillion, ten million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 619 630 1238 1260 1857 2476 3095 3714 4333 5571 6190 7428 8666 9285 11142 12380 12999 17332 18570 21665 22284 25998 27855 37140 38997 43330 51996 55710 64995 77994 86660 111420 129990 155988 194985 259980 389970 779940 1282163 2564326 3846489 5128652 6410815 7692978 8975141 11539467 12821630 15385956 17950282 19232445 23078934 25643260 26925423 35900564 38464890 44875705 46157868 53850846 57697335 76929780 80776269 89751410 107701692 115394670 134627115 161552538 179502820 230789340 269254230 323105076 403881345 538508460 793658897 807762690 1587317794 1615525380 2380976691 3174635588 3968294485 4761953382 5555612279 7142930073 7936588970 9523906764 11111224558 11904883455 14285860146 15873177940 16666836837 22222449116 23809766910 27778061395 28571720292 33333673674 35714650365 47619533820 50000510511 55556122790 66667347348 71429300730 83334184185 100001021022 111112245580 142858601460 166668368370 200002042044 250002552555 333336736740 500005105110 1000010210220