Search a number
-
+
133212310333 = 7131119333121
BaseRepresentation
bin111110000010000010…
…0101000101100111101
3110201211210110111222121
41330010010220230331
54140304322412313
6141110310042541
712424060645414
oct1740404505475
9421753414877
10133212310333
1151549970463
1221998649451
13c73c56368b
146639d7a47b
1536e9d9428d
hex1f04128b3d

133212310333 has 16 divisors (see below), whose sum is σ = 135636463872. Its totient is φ = 130804128000.

The previous prime is 133212310327. The next prime is 133212310367. The reversal of 133212310333 is 333013212331.

It is a cyclic number.

It is not a de Polignac number, because 133212310333 - 225 = 133178755901 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133212310298 and 133212310307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133212310433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42681013 + ... + 42684133.

It is an arithmetic number, because the mean of its divisors is an integer number (8477278992).

Almost surely, 2133212310333 is an apocalyptic number.

It is an amenable number.

133212310333 is a deficient number, since it is larger than the sum of its proper divisors (2424153539).

133212310333 is a wasteful number, since it uses less digits than its factorization.

133212310333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 133212310333 its reverse (333013212331), we get a palindrome (466225522664).

The spelling of 133212310333 in words is "one hundred thirty-three billion, two hundred twelve million, three hundred ten thousand, three hundred thirty-three".

Divisors: 1 71 311 1933 3121 22081 137243 221591 601163 970631 6032893 42682573 68914801 428335403 1876229723 133212310333