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233133023320301 = 13114542915656413
BaseRepresentation
bin110101000000100010000011…
…000010100101100011101101
31010120110022002020102220220102
4311000202003002211203231
5221024122412432222201
62143455455443400445
7100051206435566306
oct6500420302454355
91116408066386812
10233133023320301
1168313183998525
12221928a9983125
13a011471590870
14417d9acac97ad
151be44d1a6e26b
hexd408830a58ed

233133023320301 has 8 divisors (see below), whose sum is σ = 251066568032280. Its totient is φ = 215199512212032.

The previous prime is 233133023320291. The next prime is 233133023320349. The reversal of 233133023320301 is 103023320331332.

It can be written as a sum of positive squares in 4 ways, for example, as 74427803394025 + 158705219926276 = 8627155^2 + 12597826^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233133023320301 - 222 = 233133019125997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233133023320201) 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 7 ways as a sum of consecutive naturals, for example, 7062371 + ... + 22718783.

It is an arithmetic number, because the mean of its divisors is an integer number (31383321004035).

Almost surely, 2233133023320301 is an apocalyptic number.

It is an amenable number.

233133023320301 is a deficient number, since it is larger than the sum of its proper divisors (17933544711979).

233133023320301 is a wasteful number, since it uses less digits than its factorization.

233133023320301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16801855.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 233133023320301 its reverse (103023320331332), we get a palindrome (336156343651633).

The spelling of 233133023320301 in words is "two hundred thirty-three trillion, one hundred thirty-three billion, twenty-three million, three hundred twenty thousand, three hundred one".

Divisors: 1 13 1145429 14890577 15656413 203533369 17933309486177 233133023320301