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2211221212002 = 2331123315976801
BaseRepresentation
bin100000001011010111000…
…011100000101101100010
321211101112210211011112000
4200023113003200231202
5242212040112241002
64411453200344430
7315520060116615
oct40132703405542
97741483734460
102211221212002
11782856800710
122b8671615116
1313069558115a
1479048d8617c
153c7bb63a61c
hex202d70e0b62

2211221212002 has 64 divisors (see below), whose sum is σ = 5383543201920. Its totient is φ = 667191168000.

The previous prime is 2211221212001. The next prime is 2211221212049. The reversal of 2211221212002 is 2002121221122.

It is a happy number.

2211221212002 is a `hidden beast` number, since 221 + 1 + 221 + 21 + 200 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2211221212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7849999 + ... + 8126802.

It is an arithmetic number, because the mean of its divisors is an integer number (84117862530).

Almost surely, 22211221212002 is an apocalyptic number.

2211221212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2211221212002 is an abundant number, since it is smaller than the sum of its proper divisors (3172321989918).

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

2211221212002 is a wasteful number, since it uses less digits than its factorization.

2211221212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15977056 (or 15977050 counting only the distinct ones).

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

Adding to 2211221212002 its reverse (2002121221122), we get a palindrome (4213342433124).

The spelling of 2211221212002 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 233 297 466 594 699 1398 2097 2563 4194 5126 6291 7689 12582 15378 23067 46134 69201 138402 15976801 31953602 47930403 95860806 143791209 175744811 287582418 351489622 431373627 527234433 862747254 1054468866 1581703299 3163406598 3722594633 4745109897 7445189266 9490219794 11167783899 22335567798 33503351697 40948540963 67006703394 81897081926 100510055091 122845622889 201020110182 245691245778 368536868667 737073737334 1105610606001 2211221212002