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12112310031001 = 1714925491875953
BaseRepresentation
bin1011000001000001110111…
…1011111101001010011001
31120212220222201012210222021
42300100131323331022121
53041422002331443001
641432152435454441
72360041222353145
oct260203573751231
946786881183867
1012112310031001
11394a890277444
121437544157421
1369b25566462b
142dc34b8c2225
15160107c1bba1
hexb041defd299

12112310031001 has 16 divisors (see below), whose sum is σ = 12915943290000. Its totient is φ = 11318864048128.

The previous prime is 12112310030999. The next prime is 12112310031109. The reversal of 12112310031001 is 10013001321121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41542592400 + 12070767438601 = 203820^2 + 3474301^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112310031001 - 21 = 12112310030999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12112310031301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5518641 + ... + 7394593.

It is an arithmetic number, because the mean of its divisors is an integer number (807246455625).

Almost surely, 212112310031001 is an apocalyptic number.

It is an amenable number.

12112310031001 is a deficient number, since it is larger than the sum of its proper divisors (803633258999).

12112310031001 is a wasteful number, since it uses less digits than its factorization.

12112310031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878668.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12112310031001 its reverse (10013001321121), we get a palindrome (22125311352122).

The spelling of 12112310031001 in words is "twelve trillion, one hundred twelve billion, three hundred ten million, thirty-one thousand, one".

Divisors: 1 17 149 2533 2549 43333 379801 1875953 6456617 31891201 279516997 4751788949 4781804197 81290671349 712488825353 12112310031001