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133222033233 = 3331159166109
BaseRepresentation
bin111110000010010100…
…1101110011101010001
3110201212110202111022000
41330010221232131101
54140314320030413
6141111254304213
712424236412152
oct1740451563521
9421773674260
10133222033233
1151554401413
122199b958069
13c741589083
14663b38b929
1536eab65073
hex1f04a6e751

133222033233 has 16 divisors (see below), whose sum is σ = 203732620800. Its totient is φ = 85949698320.

The previous prime is 133222033223. The next prime is 133222033249. The reversal of 133222033233 is 332330222331.

133222033233 is a `hidden beast` number, since 1 + 3 + 322 + 2 + 0 + 332 + 3 + 3 = 666.

It is not a de Polignac number, because 133222033233 - 26 = 133222033169 is a prime.

It is a super-2 number, since 2×1332220332332 (a number of 23 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 = 133222033197 and 133222033206.

It is not an unprimeable number, because it can be changed into a prime (133222033223) 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 15 ways as a sum of consecutive naturals, for example, 79582218 + ... + 79583891.

It is an arithmetic number, because the mean of its divisors is an integer number (12733288800).

Almost surely, 2133222033233 is an apocalyptic number.

It is an amenable number.

133222033233 is a deficient number, since it is larger than the sum of its proper divisors (70510587567).

133222033233 is a wasteful number, since it uses less digits than its factorization.

133222033233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159166149 (or 159166143 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 133222033233 its reverse (332330222331), we get a palindrome (465552255564).

The spelling of 133222033233 in words is "one hundred thirty-three billion, two hundred twenty-two million, thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 27 31 93 279 837 159166109 477498327 1432494981 4297484943 4934149379 14802448137 44407344411 133222033233