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312031213001 is a prime number
BaseRepresentation
bin1001000101001101000…
…00100111010111001001
31002211101222202222021122
410202212200213113021
520103014442304001
6355202315445025
731354265356154
oct4424640472711
91084358688248
10312031213001
11110371537742
1250582756775
13235695a1561
1411160d66c9b
1581b3a47b1b
hex48a68275c9

312031213001 has 2 divisors, whose sum is σ = 312031213002. Its totient is φ = 312031213000.

The previous prime is 312031212973. The next prime is 312031213057. The reversal of 312031213001 is 100312130213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 277332837376 + 34698375625 = 526624^2 + 186275^2 .

It is an emirp because it is prime and its reverse (100312130213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312031213001 - 26 = 312031212937 is a prime.

It is not a weakly prime, because it can be changed into another prime (312031213801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156015606500 + 156015606501.

It is an arithmetic number, because the mean of its divisors is an integer number (156015606501).

Almost surely, 2312031213001 is an apocalyptic number.

It is an amenable number.

312031213001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312031213001 is an equidigital number, since it uses as much as digits as its factorization.

312031213001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 312031213001 its reverse (100312130213), we get a palindrome (412343343214).

It can be divided in two parts, 3120312 and 13001, that added together give a palindrome (3133313).

The spelling of 312031213001 in words is "three hundred twelve billion, thirty-one million, two hundred thirteen thousand, one".