Search a number
-
+
1002212022120 = 233517835919041
BaseRepresentation
bin11101001010110000111…
…11011101011101101000
310112210212212201210101020
432211120133131131220
5112410012234201440
62044224305452440
7132256514426061
oct16453037353550
93483785653336
101002212022120
11357043616951
1214229a941120
137367b64927a
1436716133568
151b10aa5a3d0
hexe9587dd768

1002212022120 has 128 divisors (see below), whose sum is σ = 3221852941440. Its totient is φ = 248504975360.

The previous prime is 1002212022109. The next prime is 1002212022167. The reversal of 1002212022120 is 212202122001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002212022120.

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 31 ways as a sum of consecutive naturals, for example, 2790201 + ... + 3128840.

It is an arithmetic number, because the mean of its divisors is an integer number (25170726105).

Almost surely, 21002212022120 is an apocalyptic number.

1002212022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002212022120 is an abundant number, since it is smaller than the sum of its proper divisors (2219640919320).

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

1002212022120 is a wasteful number, since it uses less digits than its factorization.

1002212022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919155 (or 5919151 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002212022120 its reverse (212202122001), we get a palindrome (1214414144121).

The spelling of 1002212022120 in words is "one trillion, two billion, two hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 83 85 102 120 136 166 170 204 249 255 332 340 408 415 498 510 664 680 830 996 1020 1245 1411 1660 1992 2040 2490 2822 3320 4233 4980 5644 7055 8466 9960 11288 14110 16932 21165 28220 33864 42330 56440 84660 169320 5919041 11838082 17757123 23676164 29595205 35514246 47352328 59190410 71028492 88785615 100623697 118380820 142056984 177571230 201247394 236761640 301871091 355142460 402494788 491280403 503118485 603742182 710284920 804989576 982560806 1006236970 1207484364 1473841209 1509355455 1965121612 2012473940 2414968728 2456402015 2947682418 3018710910 3930243224 4024947880 4912804030 5895364836 6037421820 7369206045 8351766851 9825608060 11790729672 12074843640 14738412090 16703533702 19651216120 25055300553 29476824180 33407067404 41758834255 50110601106 58953648360 66814134808 83517668510 100221202212 125276502765 167035337020 200442404424 250553005530 334070674040 501106011060 1002212022120