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1133323012233 = 335324114892207
BaseRepresentation
bin10000011111011111010…
…100001100100010001001
311000100022020012011221000
4100133133110030202021
5122032021142342413
62224350313205213
7144610541441466
oct20373724144211
94010266164830
101133323012233
113a7704327325
1216378b700809
1382b4474bba9
143cbd2d9c66d
151e7311c6073
hex107df50c889

1133323012233 has 64 divisors (see below), whose sum is σ = 1719706982400. Its totient is φ = 737387089920.

The previous prime is 1133323012189. The next prime is 1133323012273. The reversal of 1133323012233 is 3322103233311.

1133323012233 is a `hidden beast` number, since 1 + 1 + 3 + 332 + 301 + 2 + 23 + 3 = 666.

It is not a de Polignac number, because 1133323012233 - 210 = 1133323011209 is a prime.

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 = 1133323012197 and 1133323012206.

It is not an unprimeable number, because it can be changed into a prime (1133323012273) 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 63 ways as a sum of consecutive naturals, for example, 513511816 + ... + 513514022.

It is an arithmetic number, because the mean of its divisors is an integer number (26870421600).

Almost surely, 21133323012233 is an apocalyptic number.

It is an amenable number.

1133323012233 is a deficient number, since it is larger than the sum of its proper divisors (586383970167).

1133323012233 is a wasteful number, since it uses less digits than its factorization.

1133323012233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1133323012233 its reverse (3322103233311), we get a palindrome (4455426245544).

The spelling of 1133323012233 in words is "one trillion, one hundred thirty-three billion, three hundred twenty-three million, twelve thousand, two hundred thirty-three".

Divisors: 1 3 9 27 53 159 241 477 723 1431 1489 2169 2207 4467 6507 6621 12773 13401 19863 38319 40203 59589 78917 114957 116971 236751 344871 350913 358849 531887 710253 1052739 1076547 1595661 2130759 3158217 3229641 3286223 4786983 9688923 9858669 14360949 19018997 28190011 29576007 57056991 84570033 88728021 171170973 174169819 253710099 513512919 522509457 761130297 791979743 1567528371 2375939229 4702585113 7127817687 21383453061 41974926379 125924779137 377774337411 1133323012233