Search a number
-
+
1002212221212 = 223375721115807
BaseRepresentation
bin11101001010110001000…
…00001110000100011100
310112210212220002220111000
432211120200032010130
5112410012312034322
62044224314030300
7132256516215366
oct16453040160434
93483786086430
101002212221212
11357043742494
1214229aa18390
137367b6b8a87
1436716185d36
151b10aa993ac
hexe95880e11c

1002212221212 has 96 divisors (see below), whose sum is σ = 2603441111040. Its totient is φ = 333413962560.

The previous prime is 1002212221189. The next prime is 1002212221243. The reversal of 1002212221212 is 2121222122001.

It is a happy number.

1002212221212 is a `hidden beast` number, since 10 + 0 + 221 + 2 + 221 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172584013 + ... + 172589819.

It is an arithmetic number, because the mean of its divisors is an integer number (27119178240).

Almost surely, 21002212221212 is an apocalyptic number.

1002212221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002212221212 is an abundant number, since it is smaller than the sum of its proper divisors (1601228889828).

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

1002212221212 is a wasteful number, since it uses less digits than its factorization.

1002212221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688 (or 8680 counting only the distinct ones).

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

Adding to 1002212221212 its reverse (2121222122001), we get a palindrome (3123434343213).

The spelling of 1002212221212 in words is "one trillion, two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 757 1514 2111 2271 3028 4222 4542 5807 6333 6813 8444 9084 11614 12666 13626 17421 18999 20439 23228 25332 27252 34842 37998 40878 52263 56997 69684 75996 81756 104526 113994 156789 209052 227988 313578 627156 1598027 3196054 4395899 4794081 6392108 8791798 9588162 12258577 13187697 14382243 17583596 19176324 24517154 26375394 28764486 36775731 39563091 43146729 49034308 52750788 57528972 73551462 79126182 86293458 110327193 118689273 147102924 158252364 172586916 220654386 237378546 330981579 441308772 474757092 661963158 1323926316 9279742789 18559485578 27839228367 37118971156 55678456734 83517685101 111356913468 167035370202 250553055303 334070740404 501106110606 1002212221212