Search a number
-
+
312232011229 is a prime number
BaseRepresentation
bin1001000101100100111…
…10100110010111011101
31002211220222121120200001
410202302132212113131
520103422343324404
6355234251334301
731362254206555
oct4426236462735
91084828546601
10312232011229
11110464915396
1250619a51391
132359c077c88
141117d8b6165
1581c64ad7a4
hex48b27a65dd

312232011229 has 2 divisors, whose sum is σ = 312232011230. Its totient is φ = 312232011228.

The previous prime is 312232011211. The next prime is 312232011239. The reversal of 312232011229 is 922110232213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307925108100 + 4306903129 = 554910^2 + 65627^2 .

It is a cyclic number.

It is not a de Polignac number, because 312232011229 - 213 = 312232003037 is a prime.

It is a super-2 number, since 2×3122320112292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312232011197 and 312232011206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312232011239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116005614 + 156116005615.

It is an arithmetic number, because the mean of its divisors is an integer number (156116005615).

Almost surely, 2312232011229 is an apocalyptic number.

It is an amenable number.

312232011229 is a deficient number, since it is larger than the sum of its proper divisors (1).

312232011229 is an equidigital number, since it uses as much as digits as its factorization.

312232011229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 312232011229 in words is "three hundred twelve billion, two hundred thirty-two million, eleven thousand, two hundred twenty-nine".