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1000221222132 = 2232112614337379
BaseRepresentation
bin11101000111000011101…
…01001010010011110100
310112121202010200200012100
432203201311022103310
5112341423113102012
62043254552022100
7132156262052346
oct16434165122364
93477663620170
101000221222132
11356211893400
12141a24091930
1373422073602
14365a7991296
151b040db38dc
hexe8e1d4a4f4

1000221222132 has 108 divisors (see below), whose sum is σ = 2779607900160. Its totient is φ = 303039892320.

The previous prime is 1000221222131. The next prime is 1000221222149. The reversal of 1000221222132 is 2312221220001.

1000221222132 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000221222131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26740219 + ... + 26777597.

Almost surely, 21000221222132 is an apocalyptic number.

1000221222132 is a gapful number since it is divisible by the number (12) 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 1000221222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389803950080).

1000221222132 is an abundant number, since it is smaller than the sum of its proper divisors (1779386678028).

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

1000221222132 is a wasteful number, since it uses less digits than its factorization.

1000221222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43554 (or 43538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1000221222132 its reverse (2312221220001), we get a palindrome (3312442442133).

The spelling of 1000221222132 in words is "one trillion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 6143 12286 18429 24572 36858 37379 55287 67573 73716 74758 110574 112137 135146 149516 202719 221148 224274 270292 336411 405438 411169 448548 608157 672822 743303 810876 822338 1216314 1233507 1345644 1486606 1644676 2229909 2432628 2467014 2973212 3700521 4459818 4522859 4934028 6689727 7401042 8919636 9045718 13379454 13568577 14802084 18091436 26758908 27137154 40705731 54274308 81411462 162822924 229619197 459238394 688857591 918476788 1377715182 2066572773 2525811167 2755430364 4133145546 5051622334 7577433501 8266291092 10103244668 15154867002 22732300503 27783922837 30309734004 45464601006 55567845674 83351768511 90929202012 111135691348 166703537022 250055305533 333407074044 500110611066 1000221222132