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233112023133 = 311172101242009
BaseRepresentation
bin1101100100011010001…
…1110011000001011101
3211021200222101202001120
43121012203303001131
512304403134220013
6255031251401153
722561506334413
oct3310643630135
9737628352046
10233112023133
118a953729280
12392188b31b9
1318ca035b982
14b3d59732b3
1560e53be123
hex36468f305d

233112023133 has 48 divisors (see below), whose sum is σ = 363758454720. Its totient is φ = 131652352000.

The previous prime is 233112023129. The next prime is 233112023143. The reversal of 233112023133 is 331320211332.

233112023133 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 233112023133 - 22 = 233112023129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233112023143) 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 47 ways as a sum of consecutive naturals, for example, 842233 + ... + 1084241.

It is an arithmetic number, because the mean of its divisors is an integer number (7578301140).

Almost surely, 2233112023133 is an apocalyptic number.

It is an amenable number.

233112023133 is a deficient number, since it is larger than the sum of its proper divisors (130646431587).

233112023133 is a wasteful number, since it uses less digits than its factorization.

233112023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242158 (or 242141 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 233112023133 its reverse (331320211332), we get a palindrome (564432234465).

The spelling of 233112023133 in words is "two hundred thirty-three billion, one hundred twelve million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 11 17 33 51 101 187 289 303 561 867 1111 1717 3179 3333 5151 9537 18887 29189 56661 87567 242009 321079 726027 963237 2662099 4114153 7986297 12342459 24442909 45255683 69940601 73328727 135767049 209821803 268871999 415529453 769346611 806615997 1246588359 2308039833 4570823983 7064000701 13712471949 21192002103 77704007711 233112023133