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12033022233331 = 11191277213121157
BaseRepresentation
bin1010111100011010100000…
…0001000000101011110011
31120121100100000020100220101
42233012220001000223303
53034122112142431311
641331521043053231
72351233336244161
oct257065001005363
946540300210811
1012033022233331
11391a1a3394530
1214240b6971217
1369392ac52018
142d858957a231
1515d017030ec1
hexaf1a8040af3

12033022233331 has 32 divisors (see below), whose sum is σ = 13835788312320. Its totient is φ = 10349904470400.

The previous prime is 12033022233319. The next prime is 12033022233377. The reversal of 12033022233331 is 13333222033021.

It is not a de Polignac number, because 12033022233331 - 219 = 12033021709043 is a prime.

It is a super-2 number, since 2×120330222333312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12033022233331.

It is not an unprimeable number, because it can be changed into a prime (12033022233731) 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 31 ways as a sum of consecutive naturals, for example, 568738405 + ... + 568759561.

It is an arithmetic number, because the mean of its divisors is an integer number (432368384760).

Almost surely, 212033022233331 is an apocalyptic number.

12033022233331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12033022233331 is a deficient number, since it is larger than the sum of its proper divisors (1802766078989).

12033022233331 is a wasteful number, since it uses less digits than its factorization.

12033022233331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24595.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 12033022233331 its reverse (13333222033021), we get a palindrome (25366244266352).

The spelling of 12033022233331 in words is "twelve trillion, thirty-three billion, twenty-two million, two hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 11 19 209 1277 2131 14047 21157 23441 24263 40489 232727 266893 401983 445379 2721287 4421813 27017489 29934157 45085567 51704453 297192379 495941237 513332291 568748983 856625773 5646655201 9422883503 57574269059 633316959649 1093911112121 12033022233331