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21416003201331 = 35194945218933
BaseRepresentation
bin1001101111010010011010…
…10000110110100100110011
32210211100110002022011100000
410313221031100312210303
510301334433304420311
6113314213121001043
74340153344444404
oct467511520664463
983740402264300
1021416003201331
116907526547352
12249a694183183
13bc469c524cbb
1454077bdcd9ab
1527212ce20056
hex137a4d436933

21416003201331 has 24 divisors (see below), whose sum is σ = 32096399353200. Its totient is φ = 14270009684832.

The previous prime is 21416003201279. The next prime is 21416003201339. The reversal of 21416003201331 is 13310230061412.

It is a happy number.

21416003201331 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 6 + 0 + 0 + 320 + 1 + 331 = 666.

It is not a de Polignac number, because 21416003201331 - 213 = 21416003193139 is a prime.

It is a super-2 number, since 2×214160032013312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21416003201295 and 21416003201304.

It is not an unprimeable number, because it can be changed into a prime (21416003201339) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22135860 + ... + 23083073.

It is an arithmetic number, because the mean of its divisors is an integer number (1337349973050).

Almost surely, 221416003201331 is an apocalyptic number.

21416003201331 is a deficient number, since it is larger than the sum of its proper divisors (10680396151869).

21416003201331 is an equidigital number, since it uses as much as digits as its factorization.

21416003201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45220897 (or 45220885 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 21416003201331 its reverse (13310230061412), we get a palindrome (34726233262743).

The spelling of 21416003201331 in words is "twenty-one trillion, four hundred sixteen billion, three million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 243 1949 5847 17541 52623 157869 473607 45218933 135656799 406970397 1220911191 3662733573 10988200719 88131700417 264395101251 793185303753 2379555911259 7138667733777 21416003201331