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12233103303311 = 1137151199051423
BaseRepresentation
bin1011001000000011110111…
…0001101110001010001111
31121022110210000001211111122
42302000331301232022033
53100411343421201221
642003450550511155
72401545463261622
oct262007561561217
947273700054448
1012233103303311
113997036997810
121456a356654bb
136a9765cb75a7
1430412a321db9
1516332766aeab
hexb203dc6e28f

12233103303311 has 16 divisors (see below), whose sum is σ = 13796652300288. Its totient is φ = 10748776788000.

The previous prime is 12233103303277. The next prime is 12233103303319. The reversal of 12233103303311 is 11330330133221.

12233103303311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12233103303311 - 238 = 11958225396367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233103303319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99464255 + ... + 99587168.

It is an arithmetic number, because the mean of its divisors is an integer number (862290768768).

Almost surely, 212233103303311 is an apocalyptic number.

12233103303311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12233103303311 is a deficient number, since it is larger than the sum of its proper divisors (1563548996977).

12233103303311 is a wasteful number, since it uses less digits than its factorization.

12233103303311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199051622.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 12233103303311 its reverse (11330330133221), we get a palindrome (23563433436532).

The spelling of 12233103303311 in words is "twelve trillion, two hundred thirty-three billion, one hundred three million, three hundred three thousand, three hundred eleven".

Divisors: 1 11 37 151 407 1661 5587 61457 199051423 2189565653 7364902651 30056764873 81013929161 330624413603 1112100300301 12233103303311