Search a number
-
+
312212132321 is a prime number
BaseRepresentation
bin1001000101100010100…
…10110001000111100001
31002211212121012121221012
410202301102301013201
520103402301213241
6355232301310305
731361623223555
oct4426122610741
91084777177835
10312212132321
11110454678041
1250613265395
1323597c079cb
141117adbd865
1581c48836eb
hex48b14b11e1

312212132321 has 2 divisors, whose sum is σ = 312212132322. Its totient is φ = 312212132320.

The previous prime is 312212132279. The next prime is 312212132347. The reversal of 312212132321 is 123231212213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164621701696 + 147590430625 = 405736^2 + 384175^2 .

It is a cyclic number.

It is not a de Polignac number, because 312212132321 - 218 = 312211870177 is a prime.

It is a super-2 number, since 2×3122121323212 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312212432321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106066160 + 156106066161.

It is an arithmetic number, because the mean of its divisors is an integer number (156106066161).

Almost surely, 2312212132321 is an apocalyptic number.

It is an amenable number.

312212132321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312212132321 is an equidigital number, since it uses as much as digits as its factorization.

312212132321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 23.

Adding to 312212132321 its reverse (123231212213), we get a palindrome (435443344534).

The spelling of 312212132321 in words is "three hundred twelve billion, two hundred twelve million, one hundred thirty-two thousand, three hundred twenty-one".