Search a number
-
+
12131100312133 = 112100257027373
BaseRepresentation
bin1011000010000111110111…
…1011001100001001000101
31120221201111020102222220111
42300201331323030021011
53042223443134442013
641444541152433021
72361304655202655
oct260417573141105
946851436388814
1012131100312133
113957852961800
12143b108b48771
1369cc5b52418a
142dd211268365
1516085767c73d
hexb087decc245

12131100312133 has 6 divisors (see below), whose sum is σ = 13334184640742. Its totient is φ = 11028273010920.

The previous prime is 12131100312131. The next prime is 12131100312137. The reversal of 12131100312133 is 33121300113121.

It can be written as a sum of positive squares in only one way, i.e., 10929748404289 + 1201351907844 = 3306017^2 + 1096062^2 .

It is not a de Polignac number, because 12131100312133 - 21 = 12131100312131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131100312131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50128513566 + ... + 50128513807.

Almost surely, 212131100312133 is an apocalyptic number.

It is an amenable number.

12131100312133 is a deficient number, since it is larger than the sum of its proper divisors (1203084328609).

12131100312133 is a wasteful number, since it uses less digits than its factorization.

12131100312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100257027395 (or 100257027384 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12131100312133 its reverse (33121300113121), we get a palindrome (45252400425254).

The spelling of 12131100312133 in words is "twelve trillion, one hundred thirty-one billion, one hundred million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 11 121 100257027373 1102827301103 12131100312133