Search a number
-
+
12132231021001 = 721329696414917
BaseRepresentation
bin1011000010001100000101…
…0100100000000111001001
31120221211102001001221212201
42300203001110200013021
53042233302120133001
641445245303440201
72361344665106200
oct260430124400711
946854361057781
1012132231021001
113958283141043
12143b383756061
136a00ab867690
142dd2bb4bc237
151608c1a7c501
hexb08c15201c9

12132231021001 has 24 divisors (see below), whose sum is σ = 15203740555080. Its totient is φ = 9595893226752.

The previous prime is 12132231020977. The next prime is 12132231021013. The reversal of 12132231021001 is 10012013223121.

It can be written as a sum of positive squares in 4 ways, for example, as 5643615376 + 12126587405625 = 75124^2 + 3482325^2 .

It is a de Polignac number, because none of the positive numbers 2k-12132231021001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12132231021001.

It is not an unprimeable number, because it can be changed into a prime (12132231021091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1316206 + ... + 5098711.

It is an arithmetic number, because the mean of its divisors is an integer number (633489189795).

Almost surely, 212132231021001 is an apocalyptic number.

It is an amenable number.

12132231021001 is a deficient number, since it is larger than the sum of its proper divisors (3071509534079).

12132231021001 is a wasteful number, since it uses less digits than its factorization.

12132231021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417913 (or 6417906 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12132231021001 its reverse (10012013223121), we get a palindrome (22144244244122).

The spelling of 12132231021001 in words is "twelve trillion, one hundred thirty-two billion, two hundred thirty-one million, twenty-one thousand, one".

Divisors: 1 7 13 49 91 637 2969 20783 38597 145481 270179 1891253 6414917 44904419 83393921 314330933 583757447 4086302129 19045888573 133321220011 247596551449 933248540077 1733175860143 12132231021001