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312221013041 = 7229219719221
BaseRepresentation
bin1001000101100011101…
…00101001010000110001
31002211220012220210222202
410202301310221100301
520103412034404131
6355233215512545
731362061552100
oct4426164512061
91084805823882
10312221013041
11110459693283
1250616228755
13235999c6c82
141117c252037
1581c5539bcb
hex48b1d29431

312221013041 has 12 divisors (see below), whose sum is σ = 375719869620. Its totient is φ = 258389802720.

The previous prime is 312221013023. The next prime is 312221013053. The reversal of 312221013041 is 140310122213.

It can be written as a sum of positive squares in 2 ways, for example, as 110556250000 + 201664763041 = 332500^2 + 449071^2 .

It is a de Polignac number, because none of the positive numbers 2k-312221013041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312221013001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109858190 + ... + 109861031.

It is an arithmetic number, because the mean of its divisors is an integer number (31309989135).

Almost surely, 2312221013041 is an apocalyptic number.

It is an amenable number.

312221013041 is a deficient number, since it is larger than the sum of its proper divisors (63498856579).

312221013041 is a wasteful number, since it uses less digits than its factorization.

312221013041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219719264 (or 219719257 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312221013041 its reverse (140310122213), we get a palindrome (452531135254).

The spelling of 312221013041 in words is "three hundred twelve billion, two hundred twenty-one million, thirteen thousand, forty-one".

Divisors: 1 7 29 49 203 1421 219719221 1538034547 6371857409 10766241829 44603001863 312221013041