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2315310221 = 7241228109
BaseRepresentation
bin1000101000000000…
…1101010010001101
312222100122221112102
42022000031102031
514220204411341
61021425044445
7111242545400
oct21200152215
95870587472
102315310221
11a88a28924
12547486725
132ab8a5a63
1417d6d5d37
15d83e7c9b
hex8a00d48d

2315310221 has 18 divisors (see below), whose sum is σ = 2760711210. Its totient is φ = 1936079040.

The previous prime is 2315310209. The next prime is 2315310253. The reversal of 2315310221 is 1220135132.

It can be written as a sum of positive squares in 3 ways, for example, as 600936196 + 1714374025 = 24514^2 + 41405^2 .

It is not a de Polignac number, because 2315310221 - 226 = 2248201357 is a prime.

It is a super-2 number, since 2×23153102212 = 10721322838934137682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2315310193 and 2315310202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315310271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68315 + ... + 96423.

It is an arithmetic number, because the mean of its divisors is an integer number (153372845).

Almost surely, 22315310221 is an apocalyptic number.

It is an amenable number.

2315310221 is a deficient number, since it is larger than the sum of its proper divisors (445400989).

2315310221 is an equidigital number, since it uses as much as digits as its factorization.

2315310221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28205 (or 28157 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2315310221 is about 48117.6705691371. The cubic root of 2315310221 is about 1322.9285722381.

Adding to 2315310221 its reverse (1220135132), we get a palindrome (3535445353).

The spelling of 2315310221 in words is "two billion, three hundred fifteen million, three hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 41 49 287 1681 2009 11767 28109 82369 196763 1152469 1377341 8067283 47251229 56470981 330758603 2315310221