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230023013101133 = 71492683459717881
BaseRepresentation
bin110100010011010001100111…
…111111000110111001001101
31010011102222121021112111000112
4310103101213333012321031
5220122144112323214013
62133115040255205405
766310420461110240
oct6423214777067115
91104388537474015
10230023013101133
116732423723194a
1221970001816865
139b471003c6525
1440b325d50d257
151b8d65e3b4ba8
hexd13467fc6e4d

230023013101133 has 32 divisors (see below), whose sum is σ = 264818801068800. Its totient is φ = 195712819591680.

The previous prime is 230023013101121. The next prime is 230023013101171. The reversal of 230023013101133 is 331101310320032.

It is a de Polignac number, because none of the positive numbers 2k-230023013101133 is a prime.

It is a super-2 number, since 2×2300230131011332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230023013101099 and 230023013101108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230023013101183) 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, 12864093353 + ... + 12864111233.

It is an arithmetic number, because the mean of its divisors is an integer number (8275587533400).

Almost surely, 2230023013101133 is an apocalyptic number.

It is an amenable number.

230023013101133 is a deficient number, since it is larger than the sum of its proper divisors (34795787967667).

230023013101133 is a wasteful number, since it uses less digits than its factorization.

230023013101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25317.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 230023013101133 its reverse (331101310320032), we get a palindrome (561124323421165).

The spelling of 230023013101133 in words is "two hundred thirty trillion, twenty-three billion, thirteen million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 7 149 1043 2683 4597 17881 18781 32179 125167 399767 684953 2664269 2798369 4794671 12333751 18649883 47974723 82198957 86336257 335823061 575392699 1837728899 7148233727 12247644593 12864102293 50037636089 85733512151 220539801631 1543778611417 32860430443019 230023013101133