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233123231103133 = 77322310211200351
BaseRepresentation
bin110101000000011000111011…
…011000001111100010011101
31010120102100210210122202020111
4311000120323120033202131
5221023442334130300013
62143451200042250021
7100050411663245230
oct6500307330174235
91116370723582214
10233123231103133
116830a0094a1868
1222190a164b6911
13a010570954017
14417d3203b3417
151be410c05673d
hexd4063b60f89d

233123231103133 has 32 divisors (see below), whose sum is σ = 271315255099392. Its totient is φ = 196178680944000.

The previous prime is 233123231103127. The next prime is 233123231103143. The reversal of 233123231103133 is 331301132321332.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 233123231103133 - 237 = 232985792149661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233123231103095 and 233123231103104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233123231103143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163473908 + ... + 1163674258.

It is an arithmetic number, because the mean of its divisors is an integer number (8478601721856).

Almost surely, 2233123231103133 is an apocalyptic number.

It is an amenable number.

233123231103133 is a deficient number, since it is larger than the sum of its proper divisors (38192023996259).

233123231103133 is a wasteful number, since it uses less digits than its factorization.

233123231103133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210865.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 233123231103133 its reverse (331301132321332), we get a palindrome (564424363424465).

The spelling of 233123231103133 in words is "two hundred thirty-three trillion, one hundred twenty-three billion, two hundred thirty-one million, one hundred three thousand, one hundred thirty-three".

Divisors: 1 7 73 223 511 1561 10211 16279 71477 113953 200351 745403 1402457 2277053 5217821 14625623 15939371 44678273 102379361 166224869 312747911 1163574083 2045784061 3261513929 14320488427 22830597503 149342236453 456209845603 1045395655171 3193468919221 33303318729019 233123231103133