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1021222121220 = 2232572115784821
BaseRepresentation
bin11101101110001011001…
…01001110111100000100
310121121221201120212212200
432313011211032330010
5113212430330334340
62101050514114500
7133531556543400
oct16670545167404
93547851525780
101021222121220
1136410929a754
12145b0527ba30
13753bac11712
14375dab7a100
151b86e93c330
hexedc594ef04

1021222121220 has 108 divisors (see below), whose sum is σ = 3603455230284. Its totient is φ = 233422197120.

The previous prime is 1021222121219. The next prime is 1021222121287. The reversal of 1021222121220 is 221212221201.

It is a happy number.

1021222121220 is a `hidden beast` number, since 1 + 0 + 212 + 221 + 212 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 588681769536 + 432540351684 = 767256^2 + 657678^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021222121193 and 1021222121202.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57883591 + ... + 57901230.

Almost surely, 21021222121220 is an apocalyptic number.

1021222121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021222121220 is an abundant number, since it is smaller than the sum of its proper divisors (2582233109064).

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

1021222121220 is a wasteful number, since it uses less digits than its factorization.

1021222121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115784850 (or 115784838 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1021222121220 its reverse (221212221201), we get a palindrome (1242434342421).

The spelling of 1021222121220 in words is "one trillion, twenty-one billion, two hundred twenty-two million, one hundred twenty-one 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 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 115784821 231569642 347354463 463139284 578924105 694708926 810493747 1042063389 1157848210 1389417852 1620987494 1736772315 2084126778 2315696420 2431481241 3241974988 3473544630 4052468735 4168253556 4862962482 5210316945 5673456229 6947089260 7294443723 8104937470 9725924964 10420633890 11346912458 12157406205 14588887446 16209874940 17020368687 20841267780 22693824916 24314812410 28367281145 29177774892 34040737374 36472218615 48629624820 51061106061 56734562290 68081474748 72944437230 85101843435 102122212122 113469124580 145888874460 170203686870 204244424244 255305530305 340407373740 510611060610 1021222121220