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232333110251041 = 312414577583153
BaseRepresentation
bin110100110100111001000100…
…100000011000111000100001
31010110121211100220212201110211
4310310321010200120320201
5220423021202211013131
62142044205110254121
766636341025644542
oct6464710440307041
91113554326781424
10232333110251041
1168034a11909118
1222083868657341
139c83bc26300c7
144152da81124c9
151bcd7b61ee5b1
hexd34e44818e21

232333110251041 has 12 divisors (see below), whose sum is σ = 240070479278916. Its totient is φ = 224837565903360.

The previous prime is 232333110251029. The next prime is 232333110251089. The reversal of 232333110251041 is 140152011333232.

It can be written as a sum of positive squares in 2 ways, for example, as 82177397780625 + 150155712470416 = 9065175^2 + 12253804^2 .

It is a de Polignac number, because none of the positive numbers 2k-232333110251041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232333110250994 and 232333110251012.

It is not an unprimeable number, because it can be changed into a prime (232333110255041) 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 11 ways as a sum of consecutive naturals, for example, 398116921 + ... + 398700073.

It is an arithmetic number, because the mean of its divisors is an integer number (20005873273243).

Almost surely, 2232333110251041 is an apocalyptic number.

It is an amenable number.

232333110251041 is a deficient number, since it is larger than the sum of its proper divisors (7737369027875).

232333110251041 is an equidigital number, since it uses as much as digits as its factorization.

232333110251041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997792 (or 997761 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 232333110251041 its reverse (140152011333232), we get a palindrome (372485121584273).

The spelling of 232333110251041 in words is "two hundred thirty-two trillion, three hundred thirty-three billion, one hundred ten million, two hundred fifty-one thousand, forty-one".

Divisors: 1 31 961 414577 583153 12851887 18077743 398408497 560410033 241761821281 7494616459711 232333110251041