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2232133201333 = 7191271311008773
BaseRepresentation
bin100000011110110101100…
…000011010110110110101
321220101112012102021221101
4200132311200122312311
5243032402044420313
64425232225050101
7320160225105550
oct40366540326665
97811465367841
102232133201333
11790708000822
12300728a86931
13132648b8c639
147a070429697
153d0e24a05dd
hex207b581adb5

2232133201333 has 32 divisors (see below), whose sum is σ = 2727079280640. Its totient is φ = 1784558018880.

The previous prime is 2232133201321. The next prime is 2232133201351. The reversal of 2232133201333 is 3331023312322.

2232133201333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2232133201333 - 25 = 2232133201301 is a prime.

It is a super-3 number, since 3×22321332013333 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232133201313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708335 + ... + 2717107.

It is an arithmetic number, because the mean of its divisors is an integer number (85221227520).

Almost surely, 22232133201333 is an apocalyptic number.

It is an amenable number.

2232133201333 is a deficient number, since it is larger than the sum of its proper divisors (494946079307).

2232133201333 is a wasteful number, since it uses less digits than its factorization.

2232133201333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009057.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 2232133201333 its reverse (3331023312322), we get a palindrome (5563156513655).

The spelling of 2232133201333 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-three million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 7 19 127 131 133 889 917 2413 2489 16637 16891 17423 116459 316103 1008773 2212721 7061411 19166687 128114171 132149263 134166809 896799197 925044841 2434169249 2510835997 16782956401 17039184743 17575851979 117480694807 318876171619 2232133201333