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2213323041402 = 2321128911418181
BaseRepresentation
bin100000001101010100010…
…101010110101001111010
321211120222021210011102100
4200031110111112221322
5242230341144311102
64412441522044230
7315623131303254
oct40152425265172
97746867704370
102213323041402
11783735179200
122b8b594a9676
1313093bb5c8a5
14791a818acd4
153c890e14a1c
hex20354556a7a

2213323041402 has 72 divisors (see below), whose sum is σ = 5330349903060. Its totient is φ = 663167894400.

The previous prime is 2213323041331. The next prime is 2213323041403. The reversal of 2213323041402 is 2041403233122.

2213323041402 is a `hidden beast` number, since 2 + 2 + 13 + 3 + 230 + 414 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2144200847481 + 69122193921 = 1464309^2 + 262911^2 .

It is a super-2 number, since 2×22133230414022 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2213323041403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5515249 + ... + 5902932.

Almost surely, 22213323041402 is an apocalyptic number.

2213323041402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2213323041402 is an abundant number, since it is smaller than the sum of its proper divisors (3117026861658).

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

2213323041402 is a wasteful number, since it uses less digits than its factorization.

2213323041402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418300 (or 11418286 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2213323041402 its reverse (2041403233122), we get a palindrome (4254726274524).

The spelling of 2213323041402 in words is "two trillion, two hundred thirteen billion, three hundred twenty-three million, forty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 121 178 198 242 267 363 534 726 801 979 1089 1602 1958 2178 2937 5874 8811 10769 17622 21538 32307 64614 96921 193842 11418181 22836362 34254543 68509086 102763629 125599991 205527258 251199982 376799973 753599946 1016218109 1130399919 1381599901 2032436218 2260799838 2763199802 3048654327 4144799703 6097308654 8289599406 9145962981 11178399199 12434399109 18291925962 22356798398 24868798218 33535197597 67070395194 100605592791 122962391189 201211185582 245924782378 368887173567 737774347134 1106661520701 2213323041402