Search a number
-
+
232131231011021 is a prime number
BaseRepresentation
bin110100110001111101000011…
…100100001101000011001101
31010102220112021121110202022012
4310301331003210031003031
5220411214230114323041
62141411340525431005
766615633205503626
oct6461750344150315
91112815247422265
10232131231011021
1167a673362910a1
122205070770b465
139c6ab5bb986b4
1441472d660ca4d
151bc83eccbd3eb
hexd31f4390d0cd

232131231011021 has 2 divisors, whose sum is σ = 232131231011022. Its totient is φ = 232131231011020.

The previous prime is 232131231011003. The next prime is 232131231011023. The reversal of 232131231011021 is 120110132131232.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163918729455625 + 68212501555396 = 12803075^2 + 8259086^2 .

It is a cyclic number.

It is not a de Polignac number, because 232131231011021 - 234 = 232114051141837 is a prime.

Together with 232131231011023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (232131231011023) 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 as a sum of consecutive naturals, namely, 116065615505510 + 116065615505511.

It is an arithmetic number, because the mean of its divisors is an integer number (116065615505511).

Almost surely, 2232131231011021 is an apocalyptic number.

It is an amenable number.

232131231011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

232131231011021 is an equidigital number, since it uses as much as digits as its factorization.

232131231011021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 232131231011021 its reverse (120110132131232), we get a palindrome (352241363142253).

The spelling of 232131231011021 in words is "two hundred thirty-two trillion, one hundred thirty-one billion, two hundred thirty-one million, eleven thousand, twenty-one".